Year 12 · Specialist Mathematics

Composition of functions

Free examples and worked answers. No account needed.

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Practise the method.

Compose functions with domain restrictions.

Example 1

A function composition pipeline with its input and two operation stages.Follow the input through the inner function first2square× 11, then + 5Work through the stages in order
Highlight each stage and follow the inner function before the outer function.
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Answer:

Example 2

A function composition pipeline with its input and two operation stages.Follow the input through the inner function firstxsubtract 8take reciprocalReciprocal input must be nonzero
Follow the input into the reciprocal stage. When would its denominator become zero?
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Answer:

Example 3

A function composition pipeline with its input and two operation stages.Follow the input through the inner function first5square× 5, then + 5Work through the stages in order
Highlight each stage and follow the inner function before the outer function.
Show worked answer

Answer: