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Algebra 2: Composition of Functions (4 Questions)

Last updated 5 months ago

4 Nsɛmmisa

Akwankyerɛ

This 4-question Algebra 2 check assesses composing functions, evaluating compositions, understanding that order matters, and identifying domain restrictions for a composition.

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Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Let $f(x)=2x-5$ and $g(x)=x^2+1$. Which expression is $(f\circ g)(x)$?

$2(x^2+1)-5$

$2x^2+1-5$

$2x^2-5+1$

$(2x-5)^2+1$

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Given $f(x)=\sqrt{x-3}$ and $g(x)=x^2$, find $(f\circ g)(2)$.

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3.

For all functions $f$ and $g$, $(f\circ g)(x)=(g\circ f)(x)$.

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Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Let $f(x)=\frac{1}{x-4}$ and $g(x)=\sqrt{x}$. What is the domain of $(f\circ g)(x)$?

$x\ge 0$ and $x\ne 16$

$x>0$ and $x\ne 16$

$x\ge 0$ and $x\ne 4$

$x\ge 0$