Chapter 2 Review

Find g(-3x) if g(x) = -3x - 1.

Find f(2 + x) if f(x) = 4x - 5

 $f\left(x\right)\ =\ x+2;\ \ \ \ \ \ g\left(x\right)\ =\ x-2$   $Find\ \left(f+g\right)\left(x\right)$  

•  $x^2$  

•  $2x$  

•  $4$  

•  $-x^2+4$  

 $f\left(x\right)\ =\ x+2;\ \ \ \ \ \ g\left(x\right)\ =\ x-2$   $Find\ \left(f-g\right)\left(x\right)$  

•  $x^2$  

•  $2x$  

•  $4$  

•  $-x^2+4$  

 $f\left(x\right)=x^2+1;\ \ \ \ \ \ g\left(x\right)=x-4$   $Solve\ \left(f-g\right)\left(-1\right)$  

• -1

• 3

• -4

• 5

 $f\left(x\right)=x^2+1;\ \ \ \ \ \ g\left(x\right)=x-4$   $Solve\ \left(f+g\right)\left(1\right)$  

• -1

• 3

• -4

• 5

Find (f/g)(x) $f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$  

•  $\frac{x+1}{x^2-1}$  

•  $\frac{x+1}{x-1}$  

•  $\frac{1}{x-1}$  

•  $\frac{1}{x+1}$  

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

• 3x³ - 10x² - 7x - 4

• 3x³ - 14x² + 9x - 4

• 3x² - x - 3

• 3x³ + 14x² - 9x - 4

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16
• 4
• -4
• None of these.