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Composition of Functions

Walk through this compilation of worksheets on composition of functions designed exclusively for high-school students. The easy level worksheets introduce the concept of composition of two or three functions, evaluating functions, offering linear, quadratic and constant functions, while the moderate levels builds on and enhances skills acquired involving polynomial, exponential, logarithmic and rational functions. Learn to decompose functions as well.

Composition of two functions | Level 1

Introduce the concept of composition of functions with linear, quadratic and constant functions. Compose one function f(x) into another g(x) from right to left in these worksheet pdfs to create a new function h(x).

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Composition of two functions | Level 2

Find the composition of two functions(f compose g)(x) or (f o g)(x) in this level that includes polynomial, exponential, logarithmic and rational functions. Input one function into another to generate a third function.

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Composition of three functions | Level 1

Compose three functions (f o g) o h or f o (g o h) by plugging one function into the other. Evaluate the composition within the brackets, compose the outer function, and augment skills in the process.

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Composition of three functions | Level 2

Raise the bar with this unit of printable worksheets where a variety of functions are offered. Perform the indicated function compositions and simplify the expressions in each problem.

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Evaluating Compositions of functions

Evaluate compositions of functions in these problems presented as values, as an arrow diagram and as a table in this unit of worksheet pdfs, working from the inner through the outer function.

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Evaluating Composition of two functions

Bolster skills with these printable high-school worksheets offering two levels of difficulty. The easy level deals with evaluating compositions involving integers while the moderate level comprises fractions.

Easy:

  • easy 1
  • easy 2
  • easy 3
  • Grab them all

Moderate:

  • moderate 1
  • moderate 2
  • moderate 3
  • Grab them all

Evaluating Compositions of three functions

Try this set of worksheets on evaluating composition of functions and substitute the specified value into the function and work your way from the inner through outer functions and evaluate the compositions.

Easy:

  • pdf 1
  • pdf 2
  • pdf 3
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Moderate:

  • worksheet 1
  • worksheet 2
  • worksheet 3
  • Grab them all

Evaluating Composition of functions with Variables | Two functions

Evaluate the composition of functions in these worksheet pdfs where instead of plugging a certain value of x into an equation, a variable is plugged in. Be vigilant while dealing with the signs.

  • exercise 1
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  • exercise 3

Evaluating Composition of functions with Variables | Three functions

Zero in on this bundle of worksheets to practice evaluating compositions of three functions with variables. Assign the variable to the function, compose one function into the other and evaluate.

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Decompositions of functions - MCQ

Break up a function into a composition of other functions in this batch of high-school worksheets on decomposition of functions. Check the correct value from the options that would make the expression true.

  • practice 1
  • practice 2
  • practice 3

The entire collection of worksheets on composition of functions can be downloaded in a jiffy!

  • Complete Set

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