topic badge
iGCSE (2021 Edition)

4.02 Composite functions

Interactive practice questions

If $f\left(x\right)=4x^3$f(x)=4x3 and $g\left(x\right)=x+5$g(x)=x+5, find:

a
$f\left(-2\right)$f(2)
b
$g\left(f\left(-2\right)\right)$g(f(2))
c
$f\left(g\left(0\right)\right)$f(g(0))
Easy
Approx 3 minutes
Sign up to try all questions

Consider the functions $f\left(x\right)=4x-10$f(x)=4x10 and $g\left(x\right)=3+\frac{4}{x}$g(x)=3+4x

Consider the functions $f\left(x\right)=-2x-3$f(x)=2x3 and $g\left(x\right)=-2x-6$g(x)=2x6.

In sale time at a certain clothing store, all dresses are on sale for $\$5$$5 less than $75%$75% of the original price.

Outcomes

0606C1.1

Understand the terms: function, domain, range (image set), one-one function, inverse function and composition of functions.

0606C1.2A

Use function notation. e.g. f(x) = sin x, f: x ↦ sin x, f(x) = lg x or f: x ↦ lg x.

0606C1.2C

Use the notation f^2(x) [= f(f(x))].

0606C1.5B

Form composite functions.

What is Mathspace

About Mathspace