State if the given functions is an inverse. f (x) = 2-1/2x, h (x) = -2x+4

Not inverse between each other

Step-by-step explanation:

To determine if two mathematical functions are inverse between each other, you should verify that: for function f (x) and h (x)

- f (h (x)) = x for all and each x within h domain

- h (f (x)) = x for all and each x within f domain

So we should verify that we will obtain the same result when doing f (h (x)) and h (f (x)), if so, then both function are inverse between each other

f (x) = (2-1) / 2x h (x) = - 2x + 4

f (h (x)) = (2-1) / 2 (-2x+4) h (f (x)) = - 2[ (2-1) / 2x] + 4

f (h (x)) = (2-1) / -4x+8 h (f (x)) = [ (-4+2) / 2x] + 4

f (h (x)) = (2-1) / 8-4x h (f (x)) = (-4+2+8x) / 2x

h (f (x)) = (8x-2) / 2x

As we finally found that f (h (x)) ≠ h (f (x)), so both functions are not inverse between each other