I need help
Given the following functions:

f(x) = x^2
g(x) = x - 3

Find the composition of the two functions and show your process:

f(g(x))

Answers

Answer 1

Answer:

[tex] f(x) = {x}^{2} \\ g(x) = x - 3\\ \\ f(g(x))(x) = {(x - 3)}^{2} \\ = {x}^{2} - 6x + 9[/tex]

I hope I helped you^_^


Related Questions


The sum of z and 7 is not equal to 9

Answers

Answer:

z + 7 ≠ 9

Step-by-step explanation:

z + 7 ≠ 9

Subtract 7 from both sides

z ≠ 2

So z can be any number greater than 2

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

I don’t know the answer cheers mate

The roots of a plant reach down 3/4 inches below ground. How many inches is the plant above the
ground?
12 1/2 in and 3 3/4 in

Answers

Answer:

sorry man i need free answers, good luck doe

Step-by-step explanation:

Answer:

39/4 or 9 3/4

Step-by-step explanation:

27/2 - 15/4

2 times 2 = 4 so 2 times 27=54

54/4 - 15/4 =39/4

Write the slope intercept form of x+3y=4

Answers

Answer:

y=-1/3x + 4/3

Step-by-step explanation:

pleaseeeeee helpppppppp
Which of the following does not have a difference of 4?

9 - 5
-5 - (-9)
-4 - (-8)
-8 - (-4)

Answers

Answer:

-8 - (-4)

Step-by-step explanation:

9 - 5 = 4

-5 - (-9) = 4

-4 - (-8) = 4

-8 - (-4) = -4

Which point on the number line represents the additive inverse of -3
4
?

A
B
C
D

Answers

Point D is the answer

Your friend invites you to attend a
professional sports game at an arena
downtown. You'd like to go, but you
need to find the total cost to attend
the game. The total cost equals the
cost of a ticket plus the cost of bus fare
to and from the arena and the cost of
concession food.
Write a formula that will help you determine
your total cost.
Let's let
te ticket cost
b = cost of bus fare (one way)
f cost of concession food
c = total cost
Enter the correct answer
000
DO

Answers

Answer: c = 2b + t + f

Step-by-step explanation:

f concession food +

2b bus fare both ways +

t event ticket cost =

c total cost

An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents this relationship?

Answers

Answer:

Step-by-step explanation:

Just so you can see it easier, 4 inches = 2 feet.

That means you should pick graph C

What my first statement means is that you have to pick some point on the graph that translates to (say) 4 inches to 2 feet. Since that point is clear on graph C, that's what you choose.

A doesn't make that same ratio. It goes 1 to 1. That is 4 inches = 4 feet. That's not the correct ratio

B is 10 inches to 2 feet. That is no where's near the right answer. Just plot the points I'm choosing to see if the ratio holds.

D is 4 inches to 21 feet. Obviously not 2 to 1.

Answer:

C

Step-by-step explanation:

As the model size increases by 2, the statue size increases by 1

:)

Find the distance in units between 5/8 and 1/4 on a number line.

Answers

Answer:

3/8

Step-by-step explanation:

convert 1/4 to 2/8 and then subtract and that would equal the distance. distance of 3/8 hope this helps

The distance in units between 5/8 and 1/4 on a number line is 3/8.

Here,

We have to find,

The distance in units between 5/8 and 1/4 on a number line.

What is Number line?

Number line is a line in which all types off numbers are show like the negative number the positive numbers and fraction.

Now,

Distance between the 5/8 and 1/4 is find as,

[tex]\frac{5}{8} - \frac{1}{4} = \frac{5}{8} - \frac{2}{8} = \frac{3}{8}[/tex]

Hence, The distance in units between 5/8 and 1/4 on a number line is 3/8.

Learn more about the Number line visit:

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the expression 3x-9 and 23-5x represent the lengths (in feet) of two sides of an equailater triangle. find the perimeter of the triangle

Answers

Answer: 3ft

Step-by-step explanation:

Step 1; 3x-9=23 5x

Step 2; 3x9=23 5x 3x+ 9=23- 5x

Step 3 ; 3x-9 3x4-9 = 3ft

3ft is the answer.

Evaluate.
8 x 8 = 5
+ 3 eights
<
= 40 +
h
RE
=

Answers

Answer:

[tex]8 \times 8 = 5 \: ( \:8 \: ) + 3 \: eights \\ = 40 + 24 \\ = 64[/tex]

I hope I helped you^_^

Help me with 21 and 22

Answers

Answer:

21) m<1 = 122

22) m<2 = 58

Step-by-step explanation:

21)

m<1 = 122

because they are vertical angles which means they're equal to each other

22)

m<2 + 122 = 180 (because they're supplementary angles)

m<2 = 180 - 122

m<2 = 58

I need an explanation and an answer please.

Answers

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60

9 2
n+ 2 = 6 how do to solve this problem?

Answers

n + 2 = 6
subtract 2 on both sides
2 - 2 = 0 canceling each other
6 - 2 = 4
answer: n = 4
n + 2 = 6

Minus 2 from both sides

n = 4

How can you use slope to determine whether the parallelogram is a rectangle?

Answers

Step-by-step explanation:

To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.


point L is on line segment KM given KL= 11 and LM = 7 determine the length KM

Answers

Answer:

The length of KM is 18

Step-by-step explanation:

KL is one part of the line segment and LM is the other part of the segment, all you have to do is add them together to get KM.

hi can you help me ? Finish the pattern ____ 8,570 ____ 85.7 8.57 ____ ​

Answers

Answer:

85,700...8,570...857...85.7...8.57...0.857

The pattern is that the next number is a division of ten, or the previous number is a multiple of ten

When you multiply 8,570 (given as a second number in the set) by ten it will be 85,700, that’s your first number . The next blank is the third number, divide the second number by 10, it’s going to be 857. The last blank is hence, 8.57 divided by ten, which is 0.857

Please i need this problem solved today

Answers

Answer:

Below!

Step-by-step explanation:

So keeping track from what we understand,

Problem:

-4.7 + 17.4 - 8.9 - 15.3 = A

-12.7 - 24.2 = A

A = -11.5!!

What is the slope of the line of (18, 28 ) (6,8)?

Answers

Answer:

5/3

Step-by-step explanation:

to find the slope, we have to use the formula y2-y1 over x2-x1. Now, plug in our values; 8-28 over 6-18. Our answer becomes -20 over -12 this simplifies to 5 over 3, and there's your answer.

Giúp mình câu 2 nhé.Mình cần gấp lắm mn.Xin hãy giúp mk .Pls

Answers

Answer:   1. P= 12

Step-by-step explanation:

4x(x+2)(y+3-x)
(4-xy)(5x-3y)-(x+y)(x-3y)

Answers

Answer:

the soulution is (5,10)

Step-by-step explanation:

Find the slope and y-intercept of the graph of x-2y = 4.

Answers

Slope: 1/2
Y intercept: (0, 2)

Hope this helps!

Simultaneously x-2y=0 40-y=14​

Answers

Answer:

x = 52, y = 26

Step-by-step explanation:

x - 2y = 0

40 - y = 14​

(40 - 40) - y = 14​ - 40

- y = -26

y = 26

x - 2(26) = 0

x - 52 = 0

x (- 52 + 52) = 0 + 52

x = 52

List the factors of 90

Answers

Answer:

1, 2, 3, 5, 9, 10, 18, 30, 45, 90

Step-by-step explanation:

Answer:

Step-by-step explanation:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.

7x = 8x + 12 help me on this one too <3

Answers

Answer:

-12

Step-by-step explanation:

Subtract 8x from both sides

-x = 12

Divide both sides by negative 1 to make x positive

-x/-1 = 12/-1

x = -12


bailey has a 72 oz water bottle that is 3/8 full, stacie has a 60 oz water bottle that is 3/5 full, tamara has a 48 oz water bottle that is 3/4 full. Who has the most water in their bottle?

Answers

Step-by-step explanation:

Bailey has 27 oz

stacie has 36 oz

tamara has 36 oz

tamara and stacie have the most water in their bottles

If (x) = x/2 -3 and g(x) = 3 x 2 + x - 6 , find (f+g) (x)

Answers

I believe it’s -12x but I may be wrong I hope this helped!

Answer:

[tex](f + g)(x) = ( \frac{x}{2} - 3) + (3 {x}^{2} + x - 6) \\ \\ = 3 {x}^{2} + (\frac{x + 2x}{2} ) - 9 \\ \\ = 3 {x }^{2} + \frac{3x}{2} - 9 \\ \\ [/tex]

I hope I helped you^_^

Which statements about a line and its inverse are true? Select all that apply.
1.Their slopes will always be the opposite reciprocal of each other.
2.The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.
3.If their slopes are not equal, the lines will intersect each other on the line y=x
4.They may be parallel to each other.
5.Their slopes will always be the reciprocal of each other.

Answers

Answer:

Statement 3,4 and 5 are true.

Step-by-step explanation:

(1) Their slopes will always be the opposite reciprocal of each other.

False, Their slopes are reciprocal to each other.

(2) The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.

False, in the case of inverse the constant term takes the opposite sign.

(3) If their slopes are not equal, the lines will intersect each other on the line y=x

True, the Inverse of linear functions will always intersect each other on the line y=x.

(4) They may be parallel to each other.

True, in the case of y=x+n it is true.

(5) Their slopes will always be the reciprocal of each other.

True, Their slopes are always reciprocal to each other.

To know more about it, please refer to the link:

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s=yr-6yt^3 solve for y!

Answers

Answer:

y = [tex]\frac{s}{r-6t^3}[/tex]

Step-by-step explanation:

Given

s = yr - 6yt³ ← factor out y from each term on the right side

s = y(r - 6t³ ) ← divide both sides by (r - 6t³)

[tex]\frac{s}{r-6t^3}[/tex] = y

gas prices decreased by 7.5%. what is the percent of the original price you will pay for the gas. write your answer as a percent, decimal, and fraction in the space below.

Answers

Answer:

92.5% , 0.925 , 37/40

Step-by-step explanation:

as it decreased, it means that you subtract 7.5% from the original amount ( the 100% ).

so what remains is 92.5%

The amount to be paid after decreased gas prices will be 92.5% of the original price.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that gas prices decreased by 7.5%. The percent of the original price you will pay for the gas will be calculated as below:-

The original price will have 100% of the amount. The remaining amount will be calculated as:-

Petrol price = 100% - 7.5% = 92.5%

Therefore, the amount to be paid after decreased gas prices will be 92.5% of the original price.

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