Review For Test 2

 $Given\ f\left(x\right)\ =\ x^2+5\ \ and\ g\left(x\right)\ =\ 2x-1,\ Find\ f\left(g\left(x\right)\right)$  

•  $4x^{2\ }-4x+6$  

•  $4x^2+6$  

•  $4x^2+1$  

•  $2x^2+9$  

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

•  $-x^2+3x-1$  

•  $-x^3+x^2+5x-4$  

•  $x^2-3x+1$  

•  $x^2+3x+1$  

 $Given\ g\left(x\right)=5x-6\ and\ f\left(x\right)=x+2,\ find\ \left(f-g\right)\left(x\right)$  

•  $-4x-8$  

•  $4x-4$  

•  $5x^2+4x-12$  

•  $-4x+8$  
  

 $If\ f\left(x\right)=4x+8\ and\ g\left(x\right)=x+3,\ find\ f\left(x\right)\cdot g\left(x\right)$  

•  $4x^2+24$  

•  $4x^2+12x+24$  

•  $4x^2+20x+24$  

•  $4x^2+4x+24$  

 $Given\ f\left(x\right)=3x+10\ and\ g\left(x\right)=\ x-2,\ find\ \left(f\circ g\right)\left(x\right)$  

•  $3x^2-2$  

•  $3x+8$  

•  $3x+4$  

• None of these

 $Given\ p\left(x\right)=3x+4\ and\ t\left(x\right)=3x^2,\ find\ t\left(p\left(-2\right)\right)$  

• 8
  

• -8

• 12
  

• none of these

 $Given\ f\left(x\right)=3x^2-4x+8\ and\ g\left(x\right)=5x+6,\ find\ \left(f+g\right)\left(x\right)$  

•  $3x^2+9x+14$  

•  $3x^2+x+14$  

•  $15x^3+18x^2+64x+48$  

•  $3x^2-x+14$  

 $If\ f\left(x\right)=x^2+9\ and\ g\left(x\right)=x-9,\ what\ would\ be\ the\ domain\ of\ \frac{f\left(x\right)}{g\left(x\right)}$  

• All real Numbers
  

•  $x\ne-9\ or\ 9$  

•  $x\ne-3\ or\ 3$  

•  $x\ne9$  

 $Find\ the\ inverse\ of\ f\left(x\right)=-\frac{2}{3}x+\frac{1}{4}$  

•  $f^{-1}\left(x\right)=-3x+1$  

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

•  $f^{-1}\left(x\right)=-\frac{3}{2}x+\frac{8}{3}$  

•  $f^{-1}\left(x\right)=-\frac{3}{2}x+\frac{3}{8}$  

If the equation of f(x) goes though (1,4) and (4,6),

 $\ what\ points\ does\ f^{-1}\left(x\right)\ go\ thought?$  

• (1,4) and (4,6)

• (-1,-4) and (-4,-6)

• (-4,-1) and (-6,-4)

• (4,1) and (6,4)