Question

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

Answer 1

Answer: $f^{-1}(32)= 16.$

Step-by-step 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=$\frac{x}{2}$

Or $f^{-1} (x)=\frac{x}{2}$

To find $f^{-1} (32 )$ replace x by 32

$f^{-1} (32)=\frac{32}{2} =16$

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