G11 Q2 Algebra 2 Review Questions

 $f\left(x\right)=5x+1$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x-5}{1}$  

•  $\frac{x}{5}-1$  

•  $x-\frac{1}{5}$  

•  $\frac{x-1}{5}$  

 $f\left(x\right)=\frac{2x}{7}$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{7x}{2}$  

•  $\frac{2}{7}x$  

•  $7x\times2$  

•  $2x\times7$  

 $f\left(x\right)=\frac{x-2}{6}$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x-6}{2}$  

•  $6x+2$  

•  $2x+6$  

•  $6\left(x+2\right)$  

 $f\left(x\right)=\frac{3x+10}{7}$  
Find  $f^{-1}\left(x\right)$  

•  $7x-\frac{10}{3}$  

•  $\frac{7x}{3}-10$  

•  $\frac{7\left(x-10\right)}{3}$  

•  $\frac{7x-10}{3}$  

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

• Inverse Functions

• Not Inverse Functions

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2
• x = -3/2 and x = -2
• x = 6 and x = 7
• x = -6 and x = -7

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1
• x = -3/2 and x = -1
• x = 2/3 and x = 1
• x = 2/3 and x = -1

Factor: 49x² - 100

• (49x + 100)(x - 1)
• (7x - 10)(7x + 10)
• (49x - 10)(x + 10)
• (7x -10)(7x - 10)