1. Functions and Modeling

Function Composition — Quiz

Test your understanding of function composition with 5 practice questions.

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Practice Questions

Question 1

If $f(x) = x - 3$ and $g(x) = x^2$, what is the value of $(f \circ g)(2)$?

Question 2

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

Question 3

If $f(x) = 2x$ and $g(x) = x^2$, what is the value of $(g \circ f)(x)$?

Question 4

A function $P(t)$ gives the population of a city after $t$ years. Another function $I(P)$ gives the average income per person when the population is $P$. What does $(I \circ P)(t)$ represent?

Question 5

Given $f(x) = x + 1$ and $g(x) = 3x - 2$, what is the value of $(g \circ f)(0)$?