Let f(x) = 5x - 3 and g(x)= 3x?. Perform the function operation and then find the domain of the result.
(f -g)x)
(4-9)(x)=(Simplify your answer.)

Let F(x) = 5x - 3 And G(x)= 3x?. Perform The Function Operation And Then Find The Domain Of The Result.(f

Answers

Answer 1

Answer:

(f - g)(x) = -3x² + 5x - 3.

Domain: Interval notation: ( –∞, ∞)

              Inequality notation:  –∞ < x < ∞

Step-by-step explanation:

Given the subtraction of function operations, (f - g)(x) where: f(x) = 5x - 3, and g(x) = 3x²:

(f - g)(x):

In order to perform the required subtraction between f(x) and g(x), we must subtract the value given in g(x) from f(x).

(f - g)(x) = 5x - 3 - 3x²

Rearrange terms in descending order of degree:  

(f - g)(x) = 5x - 3 - 3x² ⇒ -3x² + 5x - 3

Therefore, (f - g)(x) = -3x² + 5x - 3.

Domain:

Next, the given prompt requires to find the domain of the result. If you observe its graph, then you'll see that the graph progressively widens toward the negative infinity (–∞).   Since the resulting function operations is a downward-facing quadratic function, then it means that its domain values are all real numbers, as there are no domain constraints or undefined points on the graph.

Therefore, the domain of the function, (f - g)(x) = -3x² + 5x - 3 is the set of all real numbers that are common to both f(x) and g(x).

Domain:

⇒  Interval notation: ( –∞, ∞)

⇒  Inequality notation:  –∞ < x < ∞


Related Questions

5/8=X/28 Find the value of x in the following proportions.

Answers

Answer:

x = 17.5

Step-by-step explanation:

5/8 = x/28

=> 5(28) = 8x

=> 140 = 8x

=> 8x = 140

=> x = 140/8

=> x = 70/4

=> x = 35/2

=> x = 17.5

Answer:

x=17.5

Step-by-step explanation:

first, we need to do

28/8

=3.5

now we need to do

5 x 3.5

=17.5

x=17.5

Find the value of y so that the line that passes through the points (5,4) and (-5, y) has a slope of
3/5

Answers

Answer:

y = -2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

3/5 = (y - 4)/(-5 - 5)

3/5 = (y - 4)/-10

y - 4 = -10(3/5)

y - 4 = -6

y = -2

PLS HELP!!!! I have no clue what I'm doing help is needed right now

Answers

the common difference would be 4, because they’re all in a pattern of adding 4

To get the standard deviation of the sampling distribution for a proportion, we divide by the sample size (n). Describe how dividing by the sample size influences the spread when samples sizes are high vs. when they are low.

Answers

Answer:

Step-by-step explanation:

copy and paste i made a video for you

It takes one minute to fill a four-gallon container at the Chicago River. How long does it take to fill a six-gallon container?

Answers

Answer: 20.8333

Step-by -step explanation:  1 1/4=5/4(5/4)/3=x/50cross

Answer:

One minute and 30 seconds

Step-by-step explanation:

If the container is four gallons, and it takes one minute to fill it, that means it takes 30 seconds to fill two gallons. If you add two gallons to the four that are already there, you’ll add an extra 30 seconds.


Which of the following expressions are equivalent to

Answers

Answer:

I think it is B

Step-by-step explanation:

Find an equation of the line that has a y-intercept of 2 that is parallel to the graph of
the line 4x + 2y = 8.

Answers

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

Which expression is equivalent to 7a - 8 - 2a + 4?

Answers

Answer:

a = 4/5 OR 5a - 4

Step-by-step explanation:

If you set it equivalent to 0:

7a - 8 - 2a + 4 = 0

5a - 4 = 0

5a = 4

a = 4/5

If you are only simplifying:

7a - 8 - 2a + 4

5a - 4

Solve this inequality. 7.2-3w<4.5

Answers

Answer:

w>0.9

Step-by-step explanation:

7.2-3w<4.5

-7.2       -7.2

-3w<-2.7

/-3    /-3

w>0.9

The inequality switches when divided by a negative.

-hope it helps

the answer is w >0.9 you welcome

Hey can you please help me do this

Answers

Answer:

Y = -2

Step-by-step explanation:

hoped that helped

sheeshh

Ok so what you want to get the variable by itself so the equation is -16=8y so because you are multiplying 8 by y then you do the opposite so 8y divided by 8 eliminates the 8’s on that side so then you have to do the same thing to the other side -16/8= -2 so x=(-2)

Find all roots of the equation x^3 - 5x^2 + 2x +8=0 PLEASE SHOW WORK IF YOU CAN THANK YOU!!

Answers

Answer: x = -1, 2, or 4


-1^3 - 5(-1)^2 + 2*-1 + 8
-1 - 5 - 2 + 8 = 0

2^3 - 5(2)^2 + 2*2 + 8
8 - 20 + 4 + 8 = 0

4^3 - 5(4)^2 + 2*4 + 8
64 - 80 + 8 + 8 = 0

im using my last points to ask my questions again!!!! if you can solve this one could you PLEASE help me on the last like 4 i posted. (pretty good points) anyway. find x

Answers

Answer:

The answer to x is 2.16

x = 2.16


Find BC in this problem

Answers

Answer:

21

Step-by-step explanation:

The whole length is 34 and BA is 13, so to find BC, you have to find the rest of the line's length. To do that, you subtract 34-13 to get your answer.

PLEASE HELP ME ASAP!!!




ty :)

Answers

Answer:

a' (4,5)

b' (6,3)

c' (3,2)

Answer:

translate down the y axis A will be 2,2 B will be 4,0 and c will be 1,-1

Find the area of the red triangle.

Answers

Answer:

I don't see a red triangle. btw, it's (120 × 50) / 2 = 6000 / 2 = 3000 mm².


Written as a simplified polynomial in standard form, what is the result when
(x – 3)2 is subtracted from 4x – 6?

Answers

Answer:

2x

Step-by-step explanation:

Hello :)

We are given two polynomials and are asked to subtract and simplify them. We can start this by distributing the 2 to x-3, then using that answer to subtract that from 4x-6.

2(x-3)  The distribution property is key here. Imagine you have to distribute the number two to both x and 3, because they're greedy and don't want to share. Distributing means you multiply 2 by both x and 3.

2x-6

Now that we know the polynomial for the first, we can perform subtraction.

(4x-6)-(2x-6)   We actually have to distribute the negative on the second polynomial to get rid of the parenthesis.

4x-6-2x+6    (note the sign turned positive since negative sign times a negative sign is a positive sign)

Let's simplify now. Combine like terms.

2x should be your final answer.

Write the standard form of the equation of a circle with radius 10 and center (9,3)

Answers

Answer:

[tex](x-9)^{2}+(y-3)^{2} =100[/tex]

Step-by-step explanation:

The standard form formula for a circle equation is  [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex], where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

[tex](x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100[/tex]

please help
does anyone know how to solve this

Answers

Answer:

see explanation

Step-by-step explanation:

let t be the cost of 1 t- shirt and s be the cost of 1 pair of shoes , then

4t + 3s = 325 → (1)

2t + 2s = 194 → (2)

(b) Solving by elimination

Multiplying (2) by - 2 and adding to (1) will eliminate t

- 4t - 4s = - 388 → (3)

Add (1) and (3) term by term to eliminate t

0 - s = - 63

- s = - 63 ( multiply both sides by - 1 )

s = 63

Substitute s = 63 into either of the 2 equations and solve for t

Substituting into (2)

2t + 2(63) = 194

2t + 126 = 194 ( subtract 126 from both sides )

2t = 68 ( divide both sides by 2 )

t = 34

Cost of pair of shoes = AED 63 and cost of t- shirt = AED 34

Anybody know the answer

Answers

Answer:

i think  the answer is 2

Answer:

it is -8/3

rise/run.

Step-by-step explanation:

Find the midpoint of a and b where a has the coordinates (8,5) and b has.coordinates (3,7)

Answers

Answer:

(5.5 , 6)

Step-by-step explanation:

[tex]Midpoint \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)\\\\\\\left(\dfrac{8+3}{2},\dfrac{5+7}{2} \right)\\\\\\=\left(\dfrac{11}{2},\dfrac{12}{2}\right)\\\\\\=\left(5.5,6 \right)[/tex]

We've been given to find out the midpoint coordinates in which the two coordinates has points (8,5) and (3,7).

The standard formula for calculating midpoint of two given coordinates are,

[tex]\implies\sf{( \frac{x_1 + x_2}{2} )( \frac{y_1 + y_2}{2} )}[/tex]

Here we have following data:

x1 =8 and y1= 5

x2 = 3 and y2 = 7

Replacing the values in formula we get,

[tex]\implies\sf{( \frac{8 + 3}{2} ) , ( \frac{5 + 7}{2}) }[/tex]

[tex]\implies\sf{( \frac{11}{2} ) , ( \frac{12}{2} )}[/tex]

[tex]\implies\sf{(5.5) , (6)}[/tex]

The coordinates of midpoint are (5.5,6)

Write an equation for a polynomial with all the following features a. The degree is 5 b. The polynomial has 4 terms c. The graph of the polynomial crosses the vertical axis at y=12

Answers

Answer:

f(x) = ax^5 + bx^3 + cx^2 + 12.

Step-by-step explanation:

the degree is 5 so we will have a term like:

ax^5

it crosses the vertical axis at y = 12 so we will have a constant term equal to 12

the polynomial has 4 terms, and we already have two so we can make up two more but the exponent must be between 1 and 4

f(x) = ax^5 + bx^3 + cx^2 + 12.

it has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5

The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? a. 15 year fixed, 5% down at a fixed rate of 5. 5% b. 30 year FHA, 3. 5% down at a fixed rate of 6. 25% c. 30 year fixed, 20% down at a fixed rate of 5. 75% d. 30 year fixed, 10% down at a fixed rate of 6% Please select the best answer from the choices provided A B C D.

Answers

Since the Williams want the lowest monthly payment, the loan option that is recommended is C. with 30 year fixed, 20% down at a fixed rate of 5. 75%.

Data and Calculations:

Cost of the house = $323,000

Down Payment = 10% or $32,300

Mortgage loan = $290,700 ($323,000 - $32,300)

a. 15 year fixed, 5% down at a fixed rate of 5. 5%

Cost of the house = $323,000

Down Payment = 5% or $16,150

Mortgage loan = $306,850 ($323,000 - $16,150)

Period of loan = 15 years

Fixed interest rate = 5.5%

Monthly Pay:   $2,507.22

Total of 180 Mortgage Payments $451,299.70

Total Interest $144,449.70

b. 30 year FHA, 3. 5% down at a fixed rate of 6. 25%

Monthly Pay:   $1,919.16

House Price $323,000.00

Loan Amount $311,695.00

Down Payment $11,305.00

Total of 360 Mortgage Payments $690,897.50

Total Interest $379,202.50

c. 30 year fixed, 20% down at a fixed rate of 5. 75%

Monthly Pay:   $1,507.95

House Price $323,000.00

Loan Amount $258,400.00

Down Payment $64,600.00

Total of 360 Mortgage Payments $542,862.81

Total Interest $284,462.81

d. 30 year fixed, 10% down at a fixed rate of 6%

Monthly Pay:   $1,742.89

House Price $323,000.00

Loan Amount $290,700.00

Down Payment $32,300.00

Total of 360 Mortgage Payments $627,441.62

Total Interest $336,741.62

Thus, since the Williams want the lowest monthly payment, the loan option that is recommended is C. with 30 year fixed, 20% down at a fixed rate of 5. 75%.

Learn more about loan payment options at https://brainly.com/question/24576997

I have a question!!! HELP!!!

Answers

Answer:

Susie made the error when she subtracted 2.

Answer:

The answer would be that Susie made the error when she subtracted 2.

Step-by-step explanation:

Use a 10-by-10 grid to solve.

What is 12% of 150?

Enter your answer in the box.

Answers

Answer:

35

Step-by-step explanation:

took test

The value is 18 and the number of grids represented by the 12% is 18.

What is the percentage?

A percentage is defined as any number that is less than or equal to 100. It is denoted by the sign%. The percentage denotes "out of 100". Consider dividing anything into 100 identical bits. The percentage is given as,

(P) = [Final - Initial] / Initial x 100

Let 150 be 100%. The value represented by each grid is then given as 100 grids = 150

1 grid = 150 / 100

1 grid = 1.5

The 12% represents the following number of grids: 0.12 x 100.⇒ 12 grids

⇒ 12 x 1.5

⇒ 18

The value is 18 and the number of grids represented by the 12% is 18.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Find g(x), where g(x) is the translation 1 unit up of f(x)=x.

Answers

Answer:

[tex]\orange{ \rule{40pt}{555555pt}}[/tex]

please help me thanks so much have a great day

Answers

Answer:

the answer is true

hope this gives you your answer!

:)

Answer:

True

Step-by-step explanation:

Both Jacob and Genesis have a constant of variation of 2 pages per minute

Jacob

90/45= 2

Genesis

120(2 hs.)/60= 2

f(x)=(x^5+5)^1/3, find f^-1 (x)

Answers

Answer:

5√(x^1/3-5)

Step-by-step explanation:

hey!

f(x)=(x^5 +5)^1/3

let f(x) be y

y=(x^5 +5)^1/3

now, interchanging x and y

or, x=(y^5 +5)^1/3

or, ∛x= y^5 + 5

or, x^1/3-5=y^5

or, y=5√(x^1/3-5)

therefore f^-1=5√(x^1/3-5)

hope it helps!

thank u!

What is the ratio of inches to centimeters?

Answers

The value of 1 inch is approximately equal to 2.54 centimeters. To convert inches to the centimeter values, multiply the given inch value by 2.54 cm.

Please help!!! See image!! pt. 3

Answers

Answer:

16/81

Step-by-step explanation:

Graph the following

Answers

Answer: hope this is right

Step-by-step explanation:

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