Posted by **Ben** on Monday, July 23, 2007 at 10:24am.

The inverse of f(x) is h(x). The composition of f and h is written f[h(x)]. What does f[h(x)] equal?

Hint: Think of a simple problem like f(x) = x + 3. Then the inverse, h(x) would be h(x) = x - 3. What would the composition f[h(x)] equal in this example?

f(h) means the function operates on h.

f(h)= h+3= x-3+3=x

Notice that

h(f)= f-3=x=3-3=x