4. Functions and Relations
Middle Years
4.05 Composite functions (Enrichment)
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)=4x−10 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)=−2x−3 and $g\left(x\right)=-2x-6$g(x)=−2x−6.
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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