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
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Warm-Up: Review What You Know

1.

If f(x)=2x6f(x) = 2x - 6 and g(x)=x+62g(x) = \frac{x + 6}{2}, compute f(g(10))f(g(10)).