OpenStax, Algebra and Trigonometry 2e §3.4 Composition of Functions · Example 5 · Algebra · Functions

Investigating the Order of Function Composition

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

~5 minWritten answer · check your work with Lemma

OpenStax, Algebra and Trigonometry 2e · §3.4 Composition of Functions · Example 5

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.