the graph of the invertible function ggg is shown on the grid below.
What is the value of g^-1(7)
Answers
Answer:
[tex]g^{-1} (7)=5[/tex]
Step-by-step explanation:
We are asked to find [tex]g^{-1} (7)[/tex].
One thing to remember about the inverse of a function is what exactly an inverse means.
If we have the ordered pair [tex](a,b)[/tex] of function [tex]g[/tex], then the corresponding ordered pair of [tex]g^{-1}[/tex] would be [tex](b,a)[/tex].
As we are asked to find [tex](7,b)[/tex] of [tex]g^{-1}[/tex], we can instead find [tex](b,7)[/tex] of [tex]g[/tex].
This means that we are looking for where [tex]g(b)=7[/tex].
From the graph, we can see that for this to be true, [tex]b=5[/tex]
This means that [tex]g^{-1} (7)=5[/tex]
The value of g^-1(7) is 5.
What is the value of g^-1(7)?
What is invertible function?A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.
Given that:
One thing to remember about the inverse of a function is what exactly an inverse means.
If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).
As we are asked to find (7,b) of g^-1, we can instead find (b, 7) of g .
This means that we are looking for where g(b)=7.
From the graph, we can see that for this to be true, b=5.
So, the value of g^-1(7) is 5.
Learn more about invertible function here:
https://brainly.com/question/16678369
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Related Questions
Maya is asked to find the GCF of each term in the expression 32 x y minus 18 y. Her work is shown below. Factors of 32xy: 1, 2, 4, 8, 16, 32, x, y Factors of 18y: 1, 2, 3, 6, 9, 18, y GCF: (1) (2) (x) (y) The GCF is 2 x y. Which best describes the accuracy of Maya’s solution? Maya’s solution is accurate. Maya factored 32xy incorrectly. Maya factored 18y incorrectly. Maya factored correctly, but did not find the correct GCF.
Answers
Answer: The answer is "Maya factored correctly, but did not find the correct GCF."
Step-by-step explanation:
I just took the quiz on Edgenunity.
Answer:
Answer: Mya factored correctly, but did not find the correct GCF.
Step-by-step explanation:
How many times larger is the volume of a cone if the radius is multiplied by 6?
Answers
Answer:
36 times larger.
Step-by-step explanation:
V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.
If the radius is multiplied by 6 the new formula is:
V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]
Which is simplified to:
V= [tex]\pi *36r^2*\frac{h}{3}[/tex]
The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.
Describe an event that involves dice and has a theoretical probability of 5\6.
Please Help! :)
Answers
Answer:-
Step-by-step explanation:
1-5 marbles are blue you assign them a number and there is 1 red one and he is assign #6
what is the 15th n term of the sequence 22 18 14 10 6
Answers
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
Sam has 3 cards and he buys a more. Write an expression for the number of cards Sam has.
Answers
Answer:
T=(3)+A
Step-by-step explanation:
A is how many more
t is total
3 is how many cards he owns
hope this helped
A lawn sprinkler located at the corner of a yard is set to rotate 50 degrees and project water out 30.0 feet. To the nearest tenth of a foot, what area of the lawn is watered by the sprinkler
Answers
Answer:
Area of the lawn is watered by the sprinkler is 392.75 ft²
Step-by-step explanation:
As the lawn sprinkler rotate 50 degrees when it project water out, it makes an arc from the corner where it is located.
The area of the lawn in which the water sprinkles, forms a sector with an angle of 50 degrees and radius of 30.0 feet.
[tex]Area \ of \ sector = Area \ of \ lawn= \frac{\theta}{360} \pi r^2\\\\ Area \ of \ lawn= \frac{50}{360} \pi (30)^2 = 392.75 \ ft^2[/tex]
Therefore, area of the lawn is watered by the sprinkler is 392.75 ft²
The diameter of a circle measures 30mm. What is the circumference of the circle. Use 3.14 for pie
Answers
30 divide 2 is 15
15 x 3.14
25POINTS!!!
In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.
Answers
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
10.8
Step-by-step explanation:
deltamath
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?
Answers
Answer:
36
Step-by-step explanation:
12x3=36
Lxwxh
Axh
Answer:
18,6,108
Step-by-step explanation:
edge2020
what is -2x+6y=-18 in slope intercept form?
Answers
Answer:
y = 1/3x - 3
Step-by-step explanation:
Subtract 2x on both sides
6y = 2x - 18
Isolate y by dividing 6 on both sides
y = 2/6x - 3
Simplify.
y = 1/3x - 3
Hope this helps!
answer the question in the attached picture please
Answers
Answer:
Option 1 is correct
5.345345... = 5340/999
Hope this helps!
:)
what is m if 9/7m= 1/7
Answers
M=1/7*7/9=1/9
Answer: [tex]m=\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{9}{7}m=\frac{1}{7}[/tex]
Multiply by the reciprocal to isolate m.
[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]
[tex]m=\frac{1}{9}[/tex]
Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.
Answers
Answer:
y=-1/3x
Step-by-step explanation:
Let's convert this to slope intercept form:
12x-4y=24
-4y=-12x+24
y=3x-6
Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!
Does the equation y = x/2
represent a proportional relationship?
Yes, because the coefficient of x is positive
No, because it is not in the form y=kx
No, because its graph does not pass through the origin
Yes, because its graph is a line that passes through the origin
QUICK PLEASE!! TY!
Answers
Answer:
D) Yes, because its graph is a line that passes through the origin--------------------------
The form of the equation of a proportional relation is:
y = kx, where k is the coefficient.In the given case y = 1/2x, where k = 1/2, so it represents proportional relationship.
Answer choices:
A. Yes, because the coefficient of x is positive.
False, as the coefficient of x can be negative too.B. No, because it is not in the form y = kx.
False, as it is in the form of y = kx.C. No, because its graph does not pass through the origin.
False, graph passes through the origin.D. Yes, because its graph is a line that passes through the origin
True, the graph passes through the origin; y = 0 at x = 0 regardless the value of k.WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.
Answers
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
Can you please help with think im pointing on please is so hard i will give you a Brainiest
Answers
Answer:
40
Step-by-step explanation:
You need to take 30%of 40 to figure it out.
Hope this helps.
Twice the difference of a number and 7 is at most-17.
Answers
Answer:
[tex]x\leq 15.5[/tex]
Step-by-step explanation:
help me fill this out thanks
Answers
Answer:
multiply
Step-by-step explanation:
Answer:
[tex]c = 4 \sqrt{3} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]
Consider the quadratic function:
f(x) = x2 – 8x – 9
Answers
Solved in quadratic function
The answer :
X=(9,-1)
Answer:(4,-25)
Step-by-step explanation:
Find the value of x in the triangle shown below.
56°
Answers
Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?
Answers
Answer:
Domingo 12 de abril
Step-by-step explanatio
El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30 Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas
The perimeter of a rectangular garden is 48.8 feet it’s length is 12.4 what is it’s width
Answers
Answer:
12 feet
Step-by-step explanation:
Perimeter=l+l+w+w
48.8=12.4+12.4+2w
48.8=24.8+2w
2w=24, w=12 feet
Which shows a correct way to determine the volume of the right rectangular prism?
71cm
8cm
9+1+8 = 18 cm
219 + 1 + 8) = 36 cm
9(3) + 1 = 28 cm
98)(1) = 72 cm
Answers
6) The Artisan Pizza Co sells take-out pizza in two shapes: an "individual” 6-in. square slice and a circular "party"
wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square
slice costs $2.95 and the entire party wheel costs $15.95.
a. Which is larger: The square slice or one section of the party wheel?
b. Which option has a better value? (Hint: you are comparing the cost and area for the square slice and the
cost and area for the WHOLE party wheel...not just a slice)
Answers
Answer:
132
Step-by-step explanation:
PLEASE HELP
For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?
A. The finding is significant at α = 0.05, but not at α = 0.01.
B. The finding is significant at α = 0.01, but not at α = 0.05.
C. The finding is significant at both α = 0.05 and α = 0.01.
D. The finding is not significant at α = 0.05 and α = 0.01.
Answers
Answer:
C
Step-by-step explanation:
Is is a one-tailed test
P(z < 2.45) = 0.9929
1 - 0.9929 = 0.0071
Significant at both 0.05 and 0.01 because both are greater than 0.0071
Answer:
The finding is significant at both α = 0.05 and α = 0.01.
identify the justification for each step
Answers
Answer:
1. Given
2. Addition property of inequality
3. Division property of inequality
4. Square root property
Step-by-step explanation:
The first equation is always going to be the given since it hasn't been solved yet, on the next step you had to get rid of the 1 so you had to add 1 to both sides, this is called addition property of inequality, then to isolate the x you had to divide both sides by 4, this is called division property of inequality and lastly you had to do the opposite of squaring a number, which is taking the square root. Hope this helped.
Solve using substitution please help!!!
Answers
I hope this helps you
Answer:
The solution of the system is: A
Step-by-step explanation:
[tex]\left \{ {{12x-9y=30} \atop {6x+15y=54}} \right. \\\left \{ {{x=\frac{30+9y}{12} } \atop {6x+15y=54}} \right. \\\left\{ {{x=\frac{30+9y}{12}} \atop {6*\frac{30+9y}{12}+15y=54}} \right. \left \{ {{x=\frac{30+9y}{12}} \atop {15+\frac{9}{2}y+15y=54 }} \right. \\\left \{ {{x=\frac{30+9y }{12}} \atop {y(\frac{9}{2}+15) )= 39}} \right. \\\left \{ {{x=4} \atop {y=2}} \right.[/tex]
Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.
A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.
The circle graph shows the data from the table, but the labels are missing.
Choose the correct labels.
a =
b =
c =
d =
Answers
Answer:
a = state capital
b = nature center
c = museum
d = other
Step-by-step explanation:
Answer:
other person is correct
Step-by-step explanation:
Anoop decides to measure the rate at which the temperature changes as the altitude increases.
What would be an appropriate unit for Anoop's purpose?
Answers
Answer:
Metre
Step-by-step explanation:
Answer:
Degree sign C/ km
Hope this helps and if it does remember to give me a like , please and thank you!
