Question

Use f(x) = 5 x and f-1(x) = 2x to solve the problems. f(2)= fl(1) = f11f2) =

Answer 1

Answer:

f(2)= 5

f^-1(1)=2

f^-1(f(2))= 10

Step-by-step explanation:

$f(x)= 5x , f^{-1}(x)= 2x$

first we need to find f(2), plug in 2 for x  in f(x)

$f(x)= 5x \\f(2)= 5(2)= 10$

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

To find f^-1(1) , we plug in 1 for x in f inverse

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

now we find f^-1(f(2))

we know f(2)= 10

so we find f^-1(10)

$f^{-1}(x)= 2x\\f^{-1}(10)= 2(10)= 20$