Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for an inverse functions quiz? Then this Precalculus quiz on Domains, Composition and Inverse Functions Explained asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check domain, composition and inverse ideas. Each wrong option comes from a typical error, such as reversing the order of a composition or treating an inverse as a reciprocal.
Standards: F-IF.A.1, F-BF.A.1c, F-BF.B.4b, F-BF.B.4c, F-BF.B.4d · Level: Grade 12 Precalculus
What this Domains, Composition and Inverse Functions Explained quiz checks
- Exclude zero denominators and negative numbers under even roots when finding a domain.
- (f ∘ g)(x) = f(g(x)): evaluate the inner function first; order matters.
- To invert a function, swap x and y, then solve for y.
- The graph of an inverse is the reflection of the original across the line y = x.
- If f(a) = b then f⁻¹(b) = a, and f(f⁻¹(x)) = x.
The 10 questions of the quiz
- Which interval is the domain of f(x) = √(2x − 10)?
- Given f(x) = 5x − 2 and g(x) = x2, evaluate f(g(4)).
- What is the inverse of f(x) = 3x + 6?
- A one-to-one function has f(4) = 11. What is f−1(11)?
- Which restriction of the domain makes the function in the graph invertible?
- The graph shows f(x) = 2x. What is f−1(8)?
- Which set lists every allowed input of h(x) = 1/(x2 − 9)?
- If f(x) = x + 4 and g(x) = x2, what is (f ∘ g)(x)?
- In h(x) = (3x + 1)5, which is the inner function?
- Which statement about f(x) = x2 on all real numbers is true?
After the quiz
Missed a question? Reread the Domains, Composition and Inverse Functions Explained lesson, then take the quiz again. Next, solve the Precalculus worksheet on Domains, Composition and Inverse Functions Explained, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
Mis à jour le