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iGCSE (2021 Edition)

21.03 Composite functions (Extended)

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
2min

Given the functions $f\left(x\right)=4x-10$f(x)=4x10 and $g\left(x\right)=3+\frac{4}{x}$g(x)=3+4x, evaluate $f\left(g\left(2\right)\right)$f(g(2)).

Easy
2min

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

Easy
3min

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

Easy
2min
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Outcomes

0580E2.9

f: x ⟼ 3x – 5, to describe simple functions. Find inverse functions f ^(–1)(x). Form composite functions as defined by gf(x) = g(f(x)).

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