Algebra Flashcards: Compose Two Functions

Study Compose Two Functions in Algebra with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the domain of (gf)(x)(g\circ f)(x) if f(x)=2x1f(x)=2x-1 and g(x)=xg(x)=\sqrt{x}?

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ANSWER

Domain: x12x\ge \frac{1}{2}. Need 2x102x-1\ge 0, so x12x\ge \frac{1}{2}.

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Algebra: Model Relationships with Functions

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What this deck covers

This deck focuses on Compose Two Functions, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set
A factory's total cost C(w)C(w) (in dollars) depends on the number of widgets ww produced: C(w)=50+8wC(w)=50+8w. The number of widgets produced after dd days is w(d)=12dw(d)=12d. What does the composition C(w(d))C(w(d)) represent?
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