Operations with Functions Worksheets

This collection of printable worksheets on operations with functions is a must-have practice for high school students to learn to add, subtract, multiply, and divide functions. In these exercises, they perform arithmetic operations on functions, moving step-by-step from easy to moderate levels and mastering function operations. Give our free worksheets a try!

Addition and Subtraction of Two Functions | Easy

Familiarize students with addition f(x) + g(x) and subtraction f(x) - g(x) of functions. Have them substitute the given values and solve for (f+g)(x) and (f-g)(x).

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Addition and Subtraction of Two Functions | Moderate

This set of worksheets features problems that involve finding the sum and difference of functions with polynomial expressions containing fractional values.

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Multiplication and Division of Two Functions | Easy

Multiplying and dividing functions is what these PDFs deal with. High school students substitute the given expressions to determine f(x) * g(x) or f(x) / g(x).

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Multiplication and Division of Two Functions | Moderate

The task involves replacing the indicated functions with their respective polynomial expressions, combining like terms together, and simplifying.

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Arithmetic Operations on Functions | Mixed Review - Easy

Recap adding, subtracting, multiplying, and dividing functions with these worksheets, which comprise a mix of the four arithmetic operations on functions.

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Arithmetic Operations on Functions | Mixed Review - Moderate

Augment skills in finding the sum, difference, quotient, and product of two functions with these printables, which use fractional polynomial expressions.

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Operations on Functions with Variables

In these functions containing variables, students substitute each instance of (x) with the specified variable in the function and perform the indicated operation.

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Composition of functions

With these worksheets, practice finding the composition of functions by combining two or three functions, where the output of one becomes the input of the other.

(36 Worksheets)