Problem preview

A-REI.11 Warmup M3-012-A13-V02

Solve f(x)=g(x) approximately using intersections of polynomial, rational, radical, absolute-value, exponential, and logarithmic graphs.

Classify a proposed solution to f(x)=g(x) as valid, extraneous, or off-domain

Problem

Is this solution valid, extraneous, or off-domain? squaring gives \(x=1\), but original radical equation fails

Answer choices

Choose your path.

Preview only

Valid because x = 1 solves after squaring

Off-domain; reject x = 1

Extraneous; reject x = 1

Valid

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math III
Standard: A-REI.11
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve f(x)=g(x) approximately using intersections of polynomial, rational, radical, absolute-value, exponential, and logarithmic graphs.
Problem type: Classify a proposed solution to f(x)=g(x) as valid, extraneous, or off-domain