Chapter 5 Review

• 7

• 4

• 3

• 5

Which of the following is equivalent to 4?

Find the inverse of  $f\left(x\right)=3x-4$  

•  $g\left(x\right)=3x+4$  

•  $g\left(x\right)=\frac{3}{x+4}$  

•  $g\left(x\right)=4x+3$  

•  $g\left(x\right)=\frac{x+4}{3}$  

• 5 

• 4 

• 3 

• 1 

Simplify.

 $\frac{2}{2-\sqrt{7}}$  

•  $\frac{2}{2+\sqrt{7}}$  

•  $\frac{4+2\sqrt{7}}{-3}$  

•  $\frac{2-\sqrt{7}}{7}$  

•  $\frac{4-2\sqrt{7}}{-5}$  

Let the graph of g be a reflection in the x-axis, followed by a translation 2 units up of the graph of

 $f\left(x\right)=\sqrt{x+3}$ 
What is the rule for g?

•  $g\left(x\right)=-\sqrt{x+3}-2$  

•  $g\left(x\right)=-\sqrt{x-3}-2$  

•  $g\left(x\right)=-\sqrt{x-3}+2$  

•  $g\left(x\right)=-\sqrt{x+3}+2$  

• 30 

• 45 

• 40 

• 90