1. Functions

Combining Functions — Quiz

Test your understanding of combining functions with 5 practice questions.

Practice Questions

Question 1

For two functions f and g, what is the domain of (f·g)(x)?

Question 2

Given f(x)=x^2−1 and g(x)=$\frac{1}{x+2}$, what is (f/g)(3)?

Question 3

If f(x)=|x| and g(x)=x−3, what is (f$\circ$ g)(1)?

Question 4

For f(x)=2x+1 and g(x)=x^2, which is larger: (f$\circ$ g)(3) or (g$\circ$ f)(3)?

Question 5

What is the domain of (f−g)(x) given f(x)=$\frac{1}{x−1}$ and g(x)=$\sqrt{9−x}$?