Back to Verify inverse by composition — Problem 3 · Task Set 41

HSF.BF.B.4.b Tutor Intake — Verifying Inverses by Composition

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·standard·hsf-bf-b-4b

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Procedures

A student claims that $g(x) = \dfrac{x - 3}{4}$ is the inverse of $f(x) = 4x - 3$ .

Compute $f(g(x))$ . What does this reveal?

$f(g(x)) = x$ , so $g$ is correct

$f(g(x)) = x - 6$ , so there is an error in $g$

$f(g(x)) = x + 3$ , so $g$ is almost correct

$f(g(x)) = 4x - 3$ , so they are not related