Chemistry : asked on ajbyrd911

17.07.2021

If f(x)=x^2 and g(x)=2x+3, what is f(g(x))

0

Step-by-step answer

09.07.2023, solved by verified expert

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

5 316 answers

Unlock the full answer

Explanation:

In its raw form, function notation essentially represents an equation with only one unknown variable, expressed in terms of another. Thus, f(x) = x² + 7x can be expressed as

g(x) = 2x + 3

f(g(x)) = (2x + 3)²

f(g(x)) = 4x² + 12x + 9

Hope it helps :) and let me know if you want me to elaborate.

It is was helpful?

Helpful Useless

Faq

Mathematics

Asap if f(x)= x^2 and g(x)= 2x+3, what is f (g( a. 4x^2+9 b. x^2+2x+3 c. 2x^2+3 d. 4x^2+12x+9

Step-by-step answer

P Answered by PhD

D

Step-by-step explanation:

Substitute x = g(x) into f(x)

f(2x + 3) = (2x + 3)² ← expand factors

f(g(x)) = (2x)² + 6x + 6x + 3² = 4x² + 12x + 9 → D

Mathematics

Asap if f(x)= x^2 and g(x)= 2x+3, what is f (g( a. 4x^2+9 b. x^2+2x+3 c. 2x^2+3 d. 4x^2+12x+9

Step-by-step answer

P Answered by PhD

D

Step-by-step explanation:

Substitute x = g(x) into f(x)

f(2x + 3) = (2x + 3)² ← expand factors

f(g(x)) = (2x)² + 6x + 6x + 3² = 4x² + 12x + 9 → D

Chemistry

If f(x)=x^2 and g(x)=2x+3, what is f(g(x))

Step-by-step answer

P Answered by Specialist

$\huge\boxed{f(g(x)) = 4x^2 + 12x + 9}$

Explanation:

In its raw form, function notation essentially represents an equation with only one unknown variable, expressed in terms of another. Thus, f(x) = x² + 7x can be expressed as

g(x) = 2x + 3

f(g(x)) = (2x + 3)²

f(g(x)) = 4x² + 12x + 9

Hope it helps :) and let me know if you want me to elaborate.

Mathematics

For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

Step-by-step answer

P Answered by PhD

Here you go!! Hope this helps
For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

Mathematics

Let f(x) = x^2 and g(x) = 2x + 3. write an expression that represents each composition: a. (g ∘ f)(x) b. f(f(−2)) c. (f ∘ g) (1 / x)

Step-by-step answer

P Answered by Master

Remember, if f and g are functions then $(f\circ g)(x)=f(g(x))$ , then:

a) $(g\circ f)(x)=g(f(x)))=g(x^2)=2(x^2)+3=2x^2+3$

b) f(f(-2))=f((-2)^2)=f(4)=4^2=16

c)

$(f \circ g)(\frac{1}{x})=f(g(\frac{1}{x}))\\=f(2(\frac{1}{x})+3)\\=f(\frac{2}{x}+3)\\=(\frac{2}{x}+3)^2\\ =(\frac{2}{x})^2+2*\frac{2}{x}*3+3^2 \\ =\frac{4}{x^2}+\frac{12}{x}+9$

then, $(f\circ g)=\frac{4}{x^2}+\frac{12}{x}+9$

Mathematics

For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

Step-by-step answer

P Answered by PhD

Here you go!! Hope this helps
For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

For f(x)=x+2 and g(x)=2x+3, find the following functions. a. (f◦g)(x); b. (g◦f)(x); c. (f◦g)(0); d.

Mathematics

Let f(x) = x^2 and g(x) = 2x + 3. write an expression that represents each composition: a. (g ∘ f)(x) b. f(f(−2)) c. (f ∘ g) (1 / x)

Step-by-step answer

P Answered by Specialist

Remember, if f and g are functions then $(f\circ g)(x)=f(g(x))$ , then:

a) $(g\circ f)(x)=g(f(x)))=g(x^2)=2(x^2)+3=2x^2+3$

b) f(f(-2))=f((-2)^2)=f(4)=4^2=16

c)

$(f \circ g)(\frac{1}{x})=f(g(\frac{1}{x}))\\=f(2(\frac{1}{x})+3)\\=f(\frac{2}{x}+3)\\=(\frac{2}{x}+3)^2\\ =(\frac{2}{x})^2+2*\frac{2}{x}*3+3^2 \\ =\frac{4}{x^2}+\frac{12}{x}+9$

then, $(f\circ g)=\frac{4}{x^2}+\frac{12}{x}+9$

Mathematics

Me. 1. graph f(x)=2x+1 and g(x)=−x+4 on the same coordinate plane. what is the solution to the equation f(x)=g(x) ? enter your answer in the box. 2. let f(x)=x+2f(x)=x+2 and g(x)=2x+1 . graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes. 3. the functions f(x)=−2x+2 and g(x)=(13)x+1 are shown in the graph. what are the solutions to −2x+2=(13)x+1? select each correct answer. −1 0 2 3 4

Step-by-step answer

P Answered by Master

32

2x + 1 = -x + 4

x = 1

x+2 = 2x+1

x= 1

-2x+2 = 13x+1

x = 1/15

Mathematics

Me. 1. graph f(x)=2x+1 and g(x)=−x+4 on the same coordinate plane. what is the solution to the equation f(x)=g(x) ? enter your answer in the box. 2. let f(x)=x+2f(x)=x+2 and g(x)=2x+1 . graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes. 3. the functions f(x)=−2x+2 and g(x)=(13)x+1 are shown in the graph. what are the solutions to −2x+2=(13)x+1? select each correct answer. −1 0 2 3 4

Step-by-step answer

P Answered by Master

32

2x + 1 = -x + 4

x = 1

x+2 = 2x+1

x= 1

-2x+2 = 13x+1

x = 1/15

Mathematics

If f(x) = x1/2 and g(x)= 2x^3 - x1/2 - x, find f(x)-g(x)

Step-by-step answer

P Answered by Specialist

8

D- f(x) - g(x) = -2 $x^{3}$ + 2 $x^{1/2}$

Step-by-step explanation:

f(x) - g(x) = ( $x^{1/2}$ - x) - (2 $x^{3}$ - $x^{1/2}$ - x)

f(x) - g(x) = $x^{1/2}$ - x - 2 $x^{3}$ + $x^{1/2}$ + x - distribute negative sign

f(x) - g(x) = -2 $x^{3}$ + 2 $x^{1/2}$ - combine like terms ( -x & +x cancel out)

free Ask question

Today we have helped

327 students

just now

Mathematics

Parking lots A and B each charge a set fee for parking plus an hourly rate. Hours Parked48Lot A Cost ($)19.00/33.00

Lot B Cost ($)20.00/32.00

How many more dollars does it cost per hour to park in Lot A than in Lot B? Give the answer as a decimal showing dollars and cents.

p Answered by PhD

just now

History

(A) briefly explain one cause of the development depicted in the excerpt (B) briefly explain one purpose of the excerpt

(C) briefly explain one way in which the historical situation of the excerpt is significant for a historical argument about the effect of reconstruction (1865-1877) on African Americans

p Answered by PhD

just now

Mathematics

*Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 12 feet, then hits the floor and rebounds to 9.6 feet. Write an explicit formula for the sequence.
Also, How high will the ball rebound after its fourth bounce?

s Answered by Specialist

1 minute ago

Physics

(PLEASE) You go sledding down a hill and are traveling toward the east. At 0s, your velocity is 0m/s. At 5s, your velocity is 30m/s. Calculate your acceleration.

p Answered by PhD

1 minute ago

Mathematics

1 1

Constance can decorate 2 ornaments in 4 hour.

Part A: How many ornaments, per hour, can Constance decorate? Explain your

answer and show your work.

Your answer

This is a required question

p Answered by PhD

Get help with homework

What is Studen

Studen helps you with homework in two ways:

Our base includes complete solutions from various experts

chat

Leave a question

Studen will automatically choose an expert for you.

directly

We have more than 5 000 verified experienced expert