# Composition of Functions: Definition & Examples

Instructions:

question 1 of 3

### If f(x) = 2x - 5 and g(x) = 4x, calculate f(g(3)).

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### 2. If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

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This quiz/worksheet combination will help you test your understanding of composition of functions. Practice questions will test your ability to calculate a complex mathematical equation using composition of function rules.

## Quiz & Worksheet Goals

Practice your ability to evaluate composition of functions through practice questions that help you understand how to:

• Order the steps in solving a composition of function equation
• Identify the innermost function or term
• Use the innermost function to complete equations

## Skills Practiced

This assessment helps you practice the following skills:

• Making connections - use understanding of the concept innermost term
• Problem solving - use acquired knowledge to solve mathematical problems