Algebra 2 Flashcards: Restrict Domain To Make Invertible

Study Restrict Domain To Make Invertible in Algebra 2 with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is $f^{-1}(x)$ for $f(x)=x^2-4$ with restricted domain $x\ge 0$ ?

Tap card or press Space to flip

ANSWER

$f^{-1}(x)=\sqrt{x+4}$ . Solve $y=x^2-4$ for $x$ using the positive square root.

1 / 52

Algebra 2: Building Functions

Find and Write an Inverse Function57 cards

Read Inverses from Graphs or Tables53 cards

You are hereRestrict Domain to Make Invertible52 cards

Transformations of Functions and Graphs53 cards

Verify Functions Are Inverses51 cards

All flashcards

52 cards

What this deck covers

This deck focuses on Restrict Domain To Make Invertible, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

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 student claims

f(x)=x^2

is invertible on all real numbers because you can "solve"

y=x^2

by writing

x=\pm\sqrt{y}

. Which domain restriction correctly fixes the issue so the inverse is a function (passes the horizontal line test)?

Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it