For f(x) = 5x + 1

a. find f(7).
b. find f−1(x).
c. find f−1(7).
d. find f( f−1(

show all work

A.

B.

C.

D.

Step-by-step explanation:

A. To solve the first part of the problem we must replace in the function

So:

B. In part B we must find the inverse function of

To find the inverse function do

Now clear the variable x.

Replace x with y.

Finally

C. Now we take the inverse function found above and replace

D. Now we substitute in the original function.

Answer with step-by-step explanation:

We are given the following function and we are to find f(7),  f−1(x), f−1(7) and f( f−1(7)):

A. Find f(7):

B. Find f'1(x):

Making x the subject to get:

C. Find f−1(7):

D. Find f( f−1(7)):

-6 is the correct option from the above given options

-2

7 - 9 = -2

reversed:

-2 + 9 = 7