QUICK LINKS


Introduction

QUICK LINKS


Introduction

INTRO
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A function operation is when we add, subtract, multiply, or divide functions.

If we imagine the first function as the detergent and the second function as the softener, evaluating a function operation is like doing laundry.

When we evaluate a function operation, we can plug the input into each function separately and then combine their outputs using the given operation ().

This is like applying detergent and softener separately on dirty clothes to get clean, soft clothes.

Alternatively, we can combine the two functions using the given operation (), and then plug the input into the combined function to determine the final output.

This is like using a pod that contains both detergent and softener to turn the dirty clothes into the clean, soft clothes.

Notice that both methods get us the same final results!

What is a function?

Functions define the relationships between inputs and outputs.

For a review on how functions work and how to evaluate them, make sure to check out our

lesson!

Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about function operations and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

We have some questions for you! Help us out through this
CALCULATOR
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Function Operations Calculator

Functions:
Evaluate:

aka

Step 1. Identify the operation.

means plus :
KEY STEPS
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How to Evaluate Function Operations

When a is in the second set of parentheses:
Ex.

Step 1. Identify the operation.

means plus

Step 2. Plug in the functions.

Replace each function name with its function.

Step 3. Simplify the expression.

(optional) Step 4. Plug in the input.

Plug in the input everywhere the variable shows up in the combined function.

(optional) Step 5. Calculate the output.

Use order of operations (PEMDAS) to calculate the output.
LESSON
โ€” Evaluating Function Operations (Variable Input)
PRACTICE
โ€” Evaluating Function Operations (Variable Input)
LESSON
โ€” Evaluating Function Operations (Numerical Input)
PRACTICE
โ€” Evaluating Function Operations (Numerical Input)
CONCLUSION
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