85
QuizMultiple Choice

Radical Equations and Extraneous Roots — Cumulative exam

Question 85 • Common Core Algebra II 2014 - MA3111 CR

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Answer
A
–4
B
–2
C
2
D
4

Explanation

Add the functions: (f + g)(x) = (x² − 2x) + (6x + 4) = x² + 4x + 4. Factor to get (x + 2)², which equals zero when x = −2. The correct choice is −2.

AI-written and checked against the verified answer.

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