Composition and inverse functions Quiz
10 questions · easy to harder · Algebra 2 · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 1 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Solve f(x) = 2x + 1, g(x) = x2 − 3, f(g(2))- A) 4
- B) −3
- C) 1
- D) 3
2 Question 2
Solve f(x) = x + 5, g(x) = 2x, g(f(1))Type the answer.
3 Question 3
Find the inverse of f(x) = x + 4.Type the answer.
4 Question 4
f(x) = x − 9, find the inverseType the answer.
5 Question 5
Solve f(x) = 2x + 1, g(x) = x2 − 3, f(g(x))Type the answer.
6 Question 6
Solve f(x) = 3x, g(x) = x + 2, g(f(x))Type the answer.
7 Question 7
f(x) = 3x − 5, find the inverseType the answer.
8 Question 8
Solve f(x) = 7 − 2x, inverseType the answer.
9 Question 9
Solve f(x) = x − 1, g(x) = x2 + x, g(f(x))Type the answer.
10 Question 10
f(x) = x4 − 3, find the inverseType the answer.