Question: If f (x) = 2x 3 3x 2 + 4x 1 and g(x) = 2, find (f g)(x) and (g f)(x).

If f (x) = 2x3 − 3x2 + 4x −1 and g(x) = 2, find (f º g)(x) and (g º f)(x).

Step by Step Solution

★★★★★

3.36 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find f gx we substitute gx 2 into fx and simplify f gx fgx f2 Subs... View full answer

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 Precalculus Questions!

Q:

Find approximations to within 105 to all the zeros of each of the following polynomials by first finding the real zeros using Newton's method and then reducing to polynomials of lower degree to...

Q:

Find the approximations to within 104 to all the real zeros of the following polynomials using Newton's method. a. f (x) = x3 2x2 5 b. f (x) = x3 + 3x2 1 c. f (x) = x3 x 1 d. f (x) = x4 + 2x2 x...

Q:

Find the approximations to within 104 to all the real zeros of the following polynomials using Newton's method. a. f (x) = x3 2x2 5 b. f (x) = x3 + 3x2 1 c. f (x) = x3 x 1 d. f (x) = x4 + 2x2 x...

Q:

Question 1 Let the function f (x) = (2x + 3) (3x + 2). Write a C program that calculates f (x) for x entered at the keyboard.

Q:

Help #27 Perform the indicated operation. 27) f( x) = 2x-1 g(x) =-3x -1 Find (1 ( x ) g -4x - 4 -3x - 1 2x - 1 3x - 1 A) B C) D) x2 - 2x 2x - 1 -3x - 1 -2x - 1 O A OB C OD #28 Perform the indicated...

Q:

5 page2.jpg" />9 page6.jpg" />5 page1.jpg" />5 page2.jpg" />6 page2.jpg" />5 page1.jpg" />9 page6.jpg" />9 page5.jpg" />9 page5.jpg" />9 page4.jpg" />9 page3.jpg" />8 page3.jpg" />8 page2.jpg" />8...

Q:

Suppose that the functions and g are defined as follows f x 2x 3 g x 4x 1 Find f g and f g Then give their domains using interval notation f s x Domain of 5 g x Domain of fg 2 2 09 0 6 26 0 0 0 0 OUD...

Q:

help solve this question Given f (x) = 2x - 3 and g (x) = 1' - 2x, find (f o g) (2)

Q:

Given f (x) = 4x + 3 and h(x) = 4x2 + 1, find g such that (fog) = h. vv Prove the following identity: cos2x = 1-tan'x vvVV 1+tan x Sketch a function with all the following features: Local maximum of...

Q:

a. The functions f and g are defined, for x R, by Find fg(4). b. The functions h and k are defined, for x > 0, by Express each of the following in terms of h and k. i. ii. x x + 8 iii. x x 2 - 4...

Q:

18. Suppose you know that you will need $2,500 two years from now in order to make a down payment on a car. a. BankOne is offering 4% interest (compounded annually) for two-year accounts and BankTwo...

Q:

4. The denim buyer needs help calculating OH, Sold, and Received. Next, determine the sell-thru for each vendor within the denim department. Vendors True Religion Miss Me Vigoss Hudson Diesel Joe's...