2. Exponential and Logarithmic Functions

Composition Of Functions — Quiz

Test your understanding of composition of functions with 5 practice questions.

Practice Questions

Question 1

What does a composition of functions mean?

Question 2

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

Question 3

If $f(x)=\sqrt{x}$ and $g(x)=x-4$, which expression represents the composition that first subtracts $4$ and then takes the square root?

Question 4

If $h(x)=f(g(x))$, what must be true for $h(x)$ to be defined?

Question 5

Let $f(x)=x+5$ and $g(x)=3x$. What is $g(f(x))$?