ACT Math Practice Question #1213 (Medium (30)) | Test Citadel
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ACT Math Difficulty: Medium (30)

Digital ACT Math Practice Question #1213

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

If $f(x) = 2x^2 - 3x + 1$ and $g(x) = x + 4$, what is the value of $(f \circ g)(-2)$?
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Work inside out: $g(-2) = 2$. Then $f(2) = 8 - 6 + 1 = 3$.

Masterclass Solution & Distractor Trap Analysis

$(f \circ g)(-2) = f(g(-2))$. First evaluate inner function: $g(-2) = -2 + 4 = 2$. Now evaluate $f(2)$: $f(2) = 2(2)^2 - 3(2) + 1 = 2(4) - 6 + 1 = 8 - 6 + 1 = 3$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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