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#

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#.