Question

Given the function f(x) = 2x, find the value of f−1(32).

Answer 1

Answer:
`f^(-1)(32)= 16.`

Explanation:

The given function is f(x)=2x.

Replace f(x) by y ,

y=2x .To find the inverse we interchange x and y :

x=2y.

Solve for y:

y=
`(x)/(2)`

Or
`f^(-1) (x)=(x)/(2)`

To find
`f^(-1) (32 )` replace x by 32

`f^(-1) (32)=(32)/(2) =16`

Answer 2

step 1
find the inverse
exchange x for y and y for x
y=2x
then
x=2y---------> clear y
y=x/2
f−1(x)=x/2

for x=32
f−1(32)=32/2----------> 16

the answer is 16