5. Functions, Transformations and Trigonometry

Function Composition — Quiz

Test your understanding of function composition with 5 practice questions.

Practice Questions

Question 1

If $f(x) = 2x + 3$ and $g(x) = x - 1$, what is $(f \circ g)(2)$?

Question 2

Given $f(x) = x^2 - 4$ and $g(x) = x + 2$, what is the domain of $(f \circ g)(x)$?

Question 3

If $f(x) = 3x + 1$ and $g(x) = x^2$, what is $(g \circ f)(x)$?

Question 4

What is the range of $(f \circ g)(x)$ if $f(x) = x + 1$ and $g(x) = x^2$?

Question 5

If $f(x) = x^3$ and $g(x) = 2x - 1$, what is $(f \circ g)(x)$?