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1.09 Operations with 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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Outcomes

A2.2.A

Graph the functions f(x)=√x, f(x)=1/x, f(x)=x^3, f(x)= 3√x, f(x)=b^x, f(x)=|x|, and f(x)=log_b (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

A2.2.D

Use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other

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