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

Question

1351 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-24T00:08:22

$a = 3$

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

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

setting

$h(a) = b$ ,

it is known that

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

That is,

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

Setting

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

implies $a = 3$ .