Chapter 6 Review

Simplify $\sqrt{20}$   

•  $2\sqrt{10}$  

•  $2\sqrt{5}$  

•  $5\sqrt{2}$  

•  $4\sqrt{5}$  

If $f\left(x\right)=3x-4$   and  $g\left(x\right)=5-2x^2\$  find  $\left(f\circ g\right)\left(-1\right)$  

• 17

• -4

• 5

• -93

 $\left(3-\sqrt{5}\right)\left(3-\sqrt{5}\right)$ 

•  $14-6\sqrt{5}$  

•  $-14-6\sqrt{5}$  

•  $4-6\sqrt{5}$  

•  $4+6\sqrt{5}$  

If the graph above represents  $f\left(x\right)$  , which of the graphs below is  $f^{-1}\left(x\right)$  ?

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Simplify  $x^{\frac{1}{6}}\cdot x^{\frac{1}{3}}$  .  Write your answer in radical form.

•  $\ ^9\sqrt{2}$  

•  $^3\sqrt{x^2}$  

•  $^6\sqrt{x}$  

•  $\sqrt{x}$  

In the 70's, a square was someone who was not cool. This 70's detective was anything but a square!

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Simplify $\frac{3\sqrt{2}}{2-5\sqrt{2}}$   by rationalizing the denominator.

•  $-\frac{11\sqrt{2}}{46}$  

•  $-\frac{3\sqrt{2}+15}{27}$  

•  $\frac{11\sqrt{2}}{46}$  

•  $-\frac{3\sqrt{2}+15}{23}$  

Find the inverse of $f\left(x\right)=\sqrt{2x+1}$   

•  $x^2-\frac{1}{2}$  

•  $\frac{x^2}{2}-1$  

•  $\frac{x^2-1}{2}$  

•  $x^2+2$  

Which of the following could be the graph of $-\frac{1}{3}\sqrt{x+1}+4$   if the parent function  $\sqrt{x}$  is shown.

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If  $f\left(x\right)=3x+1$  and  $g\left(x\right)=1-2x$  find  $\left(g\ \circ\ f\right)\left(x\right)$  

•  $1-6x$  

•  $4-6x$  

•  $3-5x$  

•  $-1-6x$