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2.03 Composition of functions

Adaptive
Worksheet

Interactive practice questions

Given that $f\left(x\right)=5x+6$f(x)=5x+6 and $g\left(x\right)=4-x^2$g(x)=4x2, find the value of $f\left(g\left(1\right)\right)$f(g(1)).

Easy
2min

Given that $f\left(x\right)=x^2$f(x)=x2 and $g\left(x\right)=8+\frac{6}{x}$g(x)=8+6x, find the value of $\left(f\quad\circ\quad g\right)\left(-1\right)$(f g)(1).

Easy
2min

Given that $f\left(x\right)=8x+9$f(x)=8x+9 and $g\left(x\right)=x^3$g(x)=x3, find the composite function $f\left(g\left(x\right)\right)$f(g(x)).

Easy
1min

Given that $f\left(x\right)=4x^2-3$f(x)=4x23 and $g\left(x\right)=x-4$g(x)=x4, find the composite function $\left(f\ \circ\ g\right)\left(x\right)$(f  g)(x).

Easy
1min
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Outcomes

M3.F.BF.A.1

Build a function that describes a relationship between two quantities.*

M3.F.BF.A.1.A

Combine standard function types using composition.

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP6

Attend to precision.

M3.MP8

Look for and express regularity in repeated reasoning.

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