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Back to Verify inverse by composition — Problem 2 · Task Set 42

Exercises: (+) Verify by Composition That One Function Is the Inverse of Another

Work through each section in order. For every verification problem, check BOTH compositions: f(g(x)) and g(f(x)).

Grade 9·20 problems·~28 min·Common Core Math - HS Functions·standard·hsf-bf-b-4b
Work through problems with immediate feedback
A

Fluency Practice

1.

Let f(x)=3x−9f(x) = 3x - 9 and g(x)=x+93g(x) = \frac{x + 9}{3}. Compute g(f(x))g(f(x)) symbolically. Does it simplify to xx? Enter 1 for yes, 0 for no.