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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

you can not drow on this

step-by-step explanation: