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# Functions: Composition-Solutions

Compute:

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4. Write as a composition of two functions :

Answer Let and let g(x) = x + 1. Then

Answer Let and let g(x) = x2 + 2x. Then

(c) 27x3

Answer Let f(x) = 3x and let g(x) = x3. Then

Answer Let and let g(x) = 2x + 2. Then

5. Write as a composition of three functions:

We say that a function f(x) is the inverse of a function g(x) if

6. Verify that the given functions are inverses of each other.

Since f(g(x)) = x = g(f(x)) the functions f(x) and g(x) are indeed inverses of
one another