Question

If h and j are inverse functions, what is h(j(15))

Answer 1

Answer: 15

Explanation:

Let's define the concept of inverse functions.

If we have a function h(x), such that it has an inverse, and:

h(x) = y.

Then the inverse function j(x) must meet the following:

j(y) = x.

Now, we want to calculate:

h( j(15) ).

Let's suppose that:

j(15) = A.

(Where A can be any real number).

then, by the above relation, we must have that:

h(A) = 15.

Now we can replace j(15) by A in h(j(15)):

h( j(15) ) = h( A ) = 15.