SAT Math Practice Question #2388 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2388

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If $f(x) = 5x - 2$ and $g(x) = 2x + k$, and $(f \circ g)(1) = 13$, what is $k$?
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Masterclass Solution & Distractor Trap Analysis

$g(1) = 2(1) + k = 2 + k$. Then $f(2 + k) = 5(2 + k) - 2 = 10 + 5k - 2 = 8 + 5k$. Set $8 + 5k = 13 \implies 5k = 5 \implies k = 1$....

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

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