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

Fluency Practice

For the same $f(x) = \frac{x + 3}{5}$ and $g(x) = 5x - 3$ , is $g(f(x)) = x$ ?

Yes

No — $g(f(x)) = 5x - 12$

No — $g(f(x)) = x + 3$

No — $g(f(x)) = x - 3$