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5.05 Function operations

Adaptive
Worksheet

Interactive practice questions

Given the following values:

$f\left(2\right)=4$f(2)=4, $f\left(7\right)=14$f(7)=14, $f\left(9\right)=18$f(9)=18, $f\left(8\right)=16$f(8)=16

$g\left(2\right)=8$g(2)=8, $g\left(7\right)=28$g(7)=28, $g\left(9\right)=36$g(9)=36, $g\left(8\right)=32$g(8)=32

Find $\left(f+g\right)$(f+g)$\left(2\right)$(2)

Easy
1min

Given the following values:

$f\left(2\right)=4$f(2)=4, $f\left(5\right)=10$f(5)=10, $f\left(9\right)=18$f(9)=18, $f\left(6\right)=12$f(6)=12

$g\left(2\right)=8$g(2)=8, $g\left(5\right)=20$g(5)=20, $g\left(9\right)=36$g(9)=36, $g\left(6\right)=24$g(6)=24

Easy
< 1min

Given that $f\left(x\right)=x-7$f(x)=x7 and $g\left(x\right)=8x+7$g(x)=8x+7, find $\left(fg\right)\left(x\right)$(fg)(x) in expanded form.

Easy
2min

Let $f\left(x\right)=x^2-1$f(x)=x21 and $g\left(x\right)=5x-1$g(x)=5x1.

Easy
1min
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Outcomes

A2.F.BF.A.1

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

A2.F.BF.A.1.A

Combine standard function types using arithmetic operations.

A2.F.BF.A.1.B

Combine standard function types using composition.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP6

Attend to precision.

A2.MP8

Look for and express regularity in repeated reasoning.

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