Test 5.4-5.6 Part 2

 $f\left(x\right)=3\left(x\right)^{\frac{1}{5\ }}and\ g\left(x\right)=12\left(x\right)^{\frac{1}{5}}$  
#1 Find (f+g)(x)
#2 What is the domain of (f+g)(x)
#3  Find (f+g)(243)

• Done

• Done

 $f\left(x\right)=3\left(x\right)^{\frac{1}{5\ }}and\ g\left(x\right)=12\left(x\right)^{\frac{1}{5}}$  
#1 Find (f-g)(x)
#2 What is the domain of (f-g)(x)
#3  Find (f-g)(32)

• Done

• Done

 $f\left(x\right)=10x^6\ and\ g\left(x\right)=-5x^{\frac{2}{3}}$  
#1 Find (f*g)(x)
#2 What is the domain of (f*g)(x)
#3  Find (f*g)(1)

• Done

• Done

 $f\left(x\right)=10x^6\ and\ g\left(x\right)=-5x^{\frac{2}{3}}$  
#1 Find (f/g)(x)
#2 What is the domain of (f/g)(x)
#3  Find (f/g)(8)

• Done

• Done

 $\ \ \ Given\ f\left(x\right)=2x-1\ find\ f^{-1}\left(x\right)\$  
 $Evaluate\ f^{-1}\left(10\right)$  

• Done

• Done

 $Given\ g\left(x\right)=16x^2\ \ \left\{x\le0\right\}\ find\ g^{-1}\left(x\right)$  
 $Evaluate\ g^{-1}\left(64\right)$  

• Done

• Done

 $f\left(x\right)=2x+9\ and\ g\left(x\right)=\frac{x}{2}+9$  

Determine if the two functions are inverses.

• Done

• Done

 $f\left(x\right)=8x^3\ and\ g\left(x\right)=\frac{x^{\frac{1}{3}}}{2}$  

Determine if the two functions are inverses

• Done

• Done

 $f\left(x\right)=3x-4+x^2\ and\ g\left(x\right)=-2x+7-3x^2$  
#1 Find (f+g)(x)
#2 Find (f+g)(-4)
#3  Find (f-g)(x)
#4 Find (f-g)(-4)

• Done

• Done

 $f\left(x\right)=3\left(x+1\right)^{\frac{1}{3}}+4$  
Find the Inverse of the function.

• Done

• Done