Question: Let f(x) = 4x 2 + 2x + 7 and g(x) = 2x - 3 Find the following: 1. (g - f) (x) 2. (f/g)

Let f(x) = 4x2+ 2x + 7 and g(x) = 2x - 3

Find the following:

1. (g - f) (x)

2. (f/g) (x); find the domain

3. (f*g) (x)

4. f(x - 3)

5. (f og) (x)

6. (g of) (x)

7. g(f(-1))

8. f-1(x)

9. f(-x)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

3 f x x 2 2x 1 f g f g fg Domain x 1 x 1 flg x 2 2x 1 g x Domain x 2 x 1 x 2x 1 2x 1 x 1 x 2 X 2x 1 x 1 Domain x 1 x 1 x 1 Domain x 2 2x 1 x 1 2x 1 2x 1 x 2 x 1 x 2x 1 2x 1 x 1 x x 2 2x 1 x 1 X X X 1

Q:

1. Let F (x, y) = 1+ v4 - x2. (a) Evaluate F (1,0). (b) Find a sketch the domain of F. (c) Find the range of F. 2. Find the domain and range of F (x, y) = arcsin (x2 + y2 - 2) and sketch the domain...

Q:

Problem 1 Let f x 4x 2 and g x x 2 a Find the solutions to the equation f x 3 b Find the domains of f and g Argue why they are or are not injecti c Write fog d Find the inverse of f x e Calculate the...

Q:

Let f (x) = 4x 2 + 9 and g(x) = x 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find )2 ( f o g)( . Show work.

Q:

Let f (x) = 4x 2 + 9 and g(x) = x 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find )2 ( f o g)( . Show work.

Q:

Let f (x) = 4x 2 + 9 and g(x) = x 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find )2 ( f o g)( . Show work.

Q:

4) A building casts a shadow 10m long. If the angle from the tip of the shadow to a point on top of the building is 30, how high is the building? Round your answer to the nearest tenth of a meter. hs...

Q:

Let f x 5x 2 and g x 4x 5 Find f g x f g x fg x and 9 f g x Simplify your answer f g x Simplify your answer fg x Simplify your answer x Simplify The domain off g is Type your answer in interval...

Q:

3 f x x 2 f g f g fg Domain x x 1 2x 1 8 x f g X 2 X 2x 1 x 1 x 2 x 1 x 2x 1 2x 1 x 1 x 2 X 2x 1 x 1 Domain x 1 x 1 Domain x 2 X 2x 1 x 1 x x 2 2x 1 x 1 2x 1 Domain x 2 x 1 x 2x 1 2x 1 x 1 2x 1 X X...

Q:

You may NOT use your calculator on the following three questions 14 S 4 3 2 H Let f x M 2 3 1 g x Let g be a function whose domain is the closed interval 0 8 The graph of g is shown above The graph...

Q:

From the following data obtain the discount curve: a. A zero coupon bond Pz (0, 0.5) = 99.20. b. A coupon bond paying 3% quarterly P (0, 0.25) = 100.5485. c. A coupon bond paying 6% quarterly P (0,...

Q:

The following compound is an intermediate in the biosynthesis of one of the twenty common a-amino acids. Which one is it likely to be, and what kind of chemical change must take place to complete...

Q:

What is an uncorrected misstatement? What is the auditors responsibility for uncorrected misstatements during the completion stage of the audit engagement?

Q:

Give a local, regional, national, or international health, wellness, or safety example other than ebola