Question

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answer 1

Ok done. Thank to me:>

Answer 2

Answer: They are inverses of each other

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Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

$h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x$

and,

$f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x$

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.