Answer :
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
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
Answer: [tex]f^{-1}(32)= 16.[/tex]
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=[tex]\frac{x}{2}[/tex]
Or [tex]f^{-1} (x)=\frac{x}{2}[/tex]
To find [tex]f^{-1} (32 )[/tex] replace x by 32
[tex]f^{-1} (32)=\frac{32}{2} =16[/tex]