Function Composition Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy

Given

f(x) = x - 4

and

g(x) = 3x

, find

(f \circ g)(5)

Solution

1
Compute $g(5) = 3(5) = 15$ .
2
Then $f(15) = 15 - 4 = 11$ .

Answer

11

Always evaluate the inner function first and use its result as the input for the outer function.

About Function Composition

Function composition applies one function to the output of another: $(f \circ g)(x) = f(g(x))$ , meaning evaluate $g$ first, then apply $f$ to the result.

Learn more about Function Composition →

More Function Composition Examples

Example 1 easy

Given [formula] and [formula], find [formula].

Example 2 medium

Given [formula] and [formula], find the formula for [formula].

Example 4 hard

Given [formula] and [formula], find the domain of [formula].

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Function Inverse Function