Question

Use f(x) = 1/2x and f -1(x) = 2x to solve the problems.

f(2) =

f−1(1) =

f−1(f(2)) =

Answer 1

`f(2) = (1)/(2) * 2 = 1\\f^(-1)(1) = 2 * 1 = 2\\f^(-1)(f(2)) = f^(-1)(1) = 2`

Note:
`f^(-1)(f(x)) = x` because f -1 and f cancel each other out.

Answer 2

f(2) =

⇒ 1

f−1(1) =

⇒ 2

f−1(f(2)) =

⇒ 2

f−1(−2) =

⇒ -4

f(−4) =

⇒ -2

f(f−1(−2)) =

⇒ -2

Explanation: