2. Functions

Composite Functions — Quiz

Test your understanding of composite functions with 5 practice questions.

Practice Questions

Question 1

What does $(f\circ g)(x)$ mean?

Question 2

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

Question 3

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

Question 4

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

Question 5

If $(f\circ g)(x)=f(g(x))$, which function is applied first?