1. Foundations and Review

Function Basics — Quiz

Test your understanding of function basics with 5 practice questions.

Practice Questions

Question 1

Given the function $f(x) = x^2 - 6x + 8$, for what values of $x$ is $f(x) = 0$?

Question 2

If $f(x) = 2x + 1$ and $g(x) = x^2$, what is the expression for the composite function $(f \circ g)(x)$?

Question 3

What is the domain of the function $f(x) = \frac{\sqrt{x - 1}}{x - 5}$?

Question 4

A function is defined by the equation $y = -3x^2 + 12x - 7$. What is the vertex of the parabola represented by this function?

Question 5

If $f(x) = 4x - 3$ and $f(g(x)) = 8x + 5$, what is the expression for $g(x)$?