2. Functions

Composite Functions — Quiz

Test your understanding of composite functions with 5 practice questions.

Practice Questions

Question 1

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

Question 2

Let $f(x)=x-5$ and $g(x)=3x$. What is the composite function $f(g(x))$?

Question 3

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

Question 4

If $f(x)=\frac{1}{x}$ and $g(x)=x-2$, what is the domain of $f(g(x))$?

Question 5

Let $f(x)=\sqrt{x}$ and $g(x)=x-4$. What is the domain of $f(g(x))$?