2. Functions

Composite Functions — Quiz

Test your understanding of composite functions with 5 practice questions.

Practice Questions

Question 1

What does the composite function $f(g(x))$ mean?

Question 2

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

Question 3

If $f(x)=x^2$ and $g(x)=x+4$, what is $f(g(x))$?

Question 4

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

Question 5

If $f(x)=x+5$ and $g(x)=2x$, what is $g(f(4))$?