Adaptive Practice

Functions

10 questions • Earn up to 107 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
If \( f(x) = 3x + 2 \), what is \( f(4) \)?
Easy
Which of the following is NOT a function?
Easy
If \( f(x) = x^2 - 4x + 3 \), find \( f(2) \).
Medium
If \( f(x) = 2x + 1 \) and \( g(x) = x^2 \), what is \( (g \circ f)(2) \)?
Easy
The function \( f(x) = \frac{1}{x-3} \) is undefined at which value of \( x \)?
Hard
If \( f(x) = x^3 - 2x \), find \( f^{-1}(8) \) (the inverse function value at 8).
Medium
For \( f(x) = \sqrt{2x + 3} \), what is the domain of \( f \)?
Medium
If \( f(x) = 2x - 5 \) and \( g(x) = \frac{x+5}{2} \), verify if \( g \) is the inverse of \( f \).
Hard
If \( f(x) = ax + b \) and \( f(f(x)) = 9x + 4 \), find \( a \) and \( b \).
Hard
If \( f(x) = \frac{2x+3}{x-1} \), find \( f^{-1}(x) \).

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