Back to Compose functions — Problem 3 · Task Set 33

HSF.BF.A.1.c Tutor Intake — Function Composition

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·standard·hsf-bf-a-1c

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Concepts

Let $f(x) = 2x$ and $g(x) = x + 3$ .

Which statement is true?

$f(g(x)) = g(f(x))$ for all $x$

$f(g(x)) = 2x + 6$ and $g(f(x)) = 2x + 3$ , so they are different

$f(g(x)) = g(f(x))$ because addition and multiplication commute

$f(g(x)) = 2x + 3$ and $g(f(x)) = 2x + 6$ , so they are different