Precalculus Combining and Composing Functions Quiz: 10 Questions with Explanations

Precalculus math quiz: Combining and Composing Functions – Maths PDF

Cover of the book Precalculus Math Tests with Answer Keys (PDF)

Download as a PDFThe Precalculus tests book with answer keysPrintable PDFSee the book ›

Sommaire

This function operations quiz for Precalculus covers combining and composing functions (Common Core F-BF.A.1b, F-BF.A.1c), with a free PDF to print.

Answer 10 multiple-choice questions on function operations and composition. The explanations name the usual mistake, such as reversing the order.

Precalculus · Common Core State Standards: F-BF.A.1b, F-BF.A.1c

Function operations quiz: 10 questions

Question 1

If $f(x)=x+3$ and $g(x)=2x$, what is $f(g(4))$?

Question 2

If $f(x)=x^{2}$ and $g(x)=x-1$, what is $(g\circ f)(3)$?

Question 3

Which expression equals $f(g(x))$ for $f(x)=2x+1$ and $g(x)=x^{2}$?

Question 4

Use the table to find $f(g(1))$.

Table for f and g.

Question 5

What is the domain of $\frac{f}{g}$ if $g(x)=x-6$ and $f$ is defined for all reals?

Question 6

Which pair decomposes $h(x)=\sqrt{4x+1}$?

Question 7

For $f(x)=\sqrt{x}$ and $g(x)=x-4$, the domain of $f(g(x))$ is shown.

Shaded part of the number line.

Question 8

If $f(x)=x+5$ and $g(x)=3x$, which statement is true?

Question 9

A discount $d(p)=0.9p$ and a $\$5$ coupon $c(p)=p-5$ are applied to a $\$50$ item. What is $c(d(50))$?

Question 10

Which shows the order of operations for $(f\circ g)(x)$?

Flow diagram.

Remember

(f+g)(x) = f(x) + g(x); the same pattern holds for difference and product.
(f/g)(x) = f(x)/g(x) requires g(x) not equal to 0.
(f∘g)(x) = f(g(x)): work from the inside out.
In general f(g(x)) is not equal to g(f(x)).
Domain of f(g(x)): x must be in the domain of g, and g(x) in the domain of f.

How to use this function operations quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the function operations quiz as a PDF with the button below and keep it with your notes.

All Precalculus chapters: Precalculus math.

Voter.. post

Free printable PDF