Given that the inverse of h(a) = 3, what is the value of a ?

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Answer 1 · 2015-09-24T00:08:22

$a = 3$ $a = 3$

The inverse of a function undoes the transformation imposed by the function.

Therefore, while the value of $h (a)$ $h(a)$ might not be known,

setting

$h (a) = b$ $h(a) = b$ ,

it is known that

$h^{- 1} (b) = a$ $h^(-1)(b) = a$

That is,

$h^{- 1} ((h (a)) = a$ $h^(-1)((h(a)) = a$

Setting

$h^{- 1} ((h (a)) = 3$ $h^(-1)((h(a)) = 3$

implies $a = 3$ $a = 3$ .