Algebra 2 inverse functions

What operation allows us to verify if functions are inverses?

(one-to-one)

• Multiplying

• Dividing

• Adding

• Composing

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

 $Find\ \ \ f\left(x\right)\times g\left(x\right)$  

f(x) = 4x+8
g(x) = x+3,

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24

Find  $\frac{h\left(x\right)}{f\left(x\right)}$  

•  $\frac{3x+2}{x^2-x+7}$  

•  $\frac{x^2-x+7}{3x+2}$ 

•  $x^2+2x+9$  

•  $\frac{x^2+5}{4x}$  

Find the domain of  $\frac{h\left(x\right)}{f\left(x\right)}$  

•  $\left\{x;\ x\ne-\frac{2}{3}\right\}$  

•  $\left\{x;\ x\ne\frac{2}{3}\right\}$  

•  $\left\{x\right\}$  

•  $\left\{x;\ x\ne-2\right\}$  

What is f(x) + g(x)

•  $x\ -4\ +x^2\ -\ 16$  

•  $x^3\ -12$  

•  $x^2\ +\ x\ -\ 12$  

•  $x^2\ +\ x\ -20$  

What is f(x) -  g(x)

•  $x\ -4\ -\ x^2\ -\ 16$  

•  $x^3\ +12$  

•  $-x^2\ +\ x\ +\ 12$  

•  $-x^2\ +\ x\ -20$  

What is   $f\left(x\right)\times g\left(x\right)$  

•  $x^3-4x^2\ -16x\ +\ 64$  

•  $x^2\ +x+64$  

•  $x^3+4x^2\ -16x\ +\ 20$  

•  $x^2\ +\ x\ -20$  

What is   $\frac{f\left(x\right)}{g\left(x\right)}$  and what is the domain?

•  $\frac{x\ -\ 4}{x^2\ -\ 16}\$  

  
   $domain\ all\ real\ numbers\ x\ne4$  
  

•  $x\ -\ 4\ \$  

  
   $domain\ all\ real\ numbers\ x\ne4$  
  

•  $\frac{1}{x\ -\ 4}\ \$  

  
   $domain\ all\ real\ numbers\ x\ne4$  
  

•  $\frac{1}{x\ +\ 4}\ \$  

  
   $domain\ all\ real\ numbers\ x\ne-4$  
  

Find the value of  $\left(h\ \circ\ g\right)\left(-1\right)$