Back to 3.4 Composition of Functions

Investigating the Order of Function Composition

Avg difficulty 2.5

Suppose f(x) f \left(x\right) gives miles that can be driven in x x hours and g(y) g \left(y\right) gives the gallons of gas used in driving y y miles. Which of these expressions is meaningful: f( g(y) ) f \left(g \left(y\right)\right) or g( f(x) )? g \left(f \left(x\right)\right) ?

OpenStax Algebra and Trigonometry 2e, 3.4 Composition of Functions, exercise 11

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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.