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1.08 Operations and compositions of functions

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 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

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

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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