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5.06 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

MA.912.F.3.2

Given a mathematical or real-world context, combine two or more functions, limited to linear, quadratic, exponential and polynomial, using arithmetic operations. When appropriate, include domain restrictions for the new function.

MA.912.F.3.4

Represent the composition of two functions algebraically or in a table. Determine the domain and range of the composite function.

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