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

f-1 (-2) =

f (-4) =

f (f-1 (-2)) =

The answer to your question is below

Step-by-step explanation:

Functions

f (x) = 12x f⁻¹ (x) = 2x

a) f⁻¹ (-2) = 2 (-2)

f⁻¹ (-2) = - 4

b) f (-4) = 12x

f (-4) = 12 (-4)

f (-4) = - 48

c) f (f⁻¹ (-2)) =

f (f⁻¹ (x)) = 12 (2x) = 24x

f (f⁻¹ (-2)) = 24 (-2) = - 48

I think your functions are wrong they must be f (x) = 1/2x f⁻¹ (x) = 2x

a) f⁻¹ (-2) = 2 (-2)

= - 4

b) f (-4) = 1/2 (-4)

= - 2

c) f (f⁻¹ (x)) = 1/2 (2x)

= x

f (f⁻¹ (-2)) = - 2