Question: In Problems 3946, show that (f g)(x) = (g f)(x) = x. f(x) = ax + b; g(x) = 1/(x-b) a (x -

In Problems 39–46, show that (f º g)(x) = (g º f)(x) = x.f(x) = ax + b; g(x) = 1/(x-b) a (x - b)

f(x) = ax + b; g(x) = 1/(x-b) a (x - b) a = 0

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that f gx g fx x where fx ax b and gx 1ax b we need to compute the composit... 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:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1 and 2. On September 1, Irene opened a retail store that specializes in sports car...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

Find the general solution of the differential equation y"(x) + 4y'(x) + 4y(x) = 6xe x + x^e-2x

Q:

I need help solving these problems with the steps 26, 28, 30, 32, 34, 36, 40, 42, 44, 46, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 27. f (x) = x2; 8(x) = x2+4 28. f (x) = x2 + 1; g(x)=2x2+3...

Q:

In Problems 3946, show that (f g) (x) = (g f) (x) = x. x (x) 8 1 == 1 (x) f

Q:

In Problems 3946, show that (f g) (x) = (g f) (x) = x. f(x) = x; g(x) = Vx

Q:

In Problems 3946, show that (f g) (x) = (g f) (x) = x. f(x) = 9x - 6; g(x) =1/(x + 6)

Q:

Match each function with its definition Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE f g x f g x fg x x fog x 4 III E E III f x g x f x g x f x g x f x g...

Q:

Part 1: Multiple Choice Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. 1) logg 10~x 2 A)...

Q:

Find (f g) (x) and (g f) (x) and the domain of each. 1 f(x) == -2 8(x) = x 2' x + 2 X

Q:

What are the normal account balances for the following accounts: a) Equipment b) Unearned Revenue c) Supplies Expense d) Accounts Payable e) Retained Earnings?

Q:

Buckeye Incorporated had the following trial balance at the beginning of November. The following transactions occur in November. November 1 Issue common stock in exchange for $13,000 cash. November 2...