Answer:
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
