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Back to 3.4 Composition of Functions

3.4 Exercise 8

Avg difficulty 2.5

Find and simplify the functions ( fg )( x ) \left(f g\right) \left(x\right) and ( f−g )( x ). \left(f - g\right) \left(x\right) .

f( x )=x−1   and    g( x )= x 2 −1 f \left(x\right) = x - 1 \textrm{ }\textrm{ }\textrm{ }\text{and}\textrm{ }\textrm{ }\textrm{ }\textrm{ } g \left(x\right) = x^{2} - 1

Are they the same function?

OpenStax Algebra and Trigonometry 2e, 3.4 Composition of Functions, exercise 8

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.