7.6 Function Operations 5/26

 $f\left(x\right)=3x+5$   $g\left(x\right)=x^2-8x+10$  

Given the following functions, perform each function operation.

 $\left(f+g\right)\left(x\right)$  

•  $x^2-11x+15$  

•  $x^2-5x+15$  

•  $-x^2+11x-5$  

•  $x^2-5x-15$  

 $f\left(x\right)=3x+5$   $g\left(x\right)=x^2-8x+10$  

Given the following functions, perform each function operation.

 $\left(f-g\right)\left(x\right)$  

•  $x^2-11x+15$  

•  $x^2-5x+15$  

•  $-x^2+11x-5$  

•  $x^2-5x-15$  

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

Given the following functions, perform each function operation.

 $\left(g-f\right)\left(x\right)$  

•  $3x^2+x-10$  

•  $-3x^2-x+10$  

•  $3x^2+x+4$  

•  $x^2-5x-15$  

 $f\left(x\right)=4x+8$   $g\left(x\right)=x+3$  

Given the following functions, perform each function operation.

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

•  $4x^2+24$  

•  $4x^2+20x+24$  

•  $4x^2+12x+24$  

•  $4x^2+4x+24$  

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

Given the following functions, perform each function operation.

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

•  $6x^4+12x^3-4x^2-8x$  

•  $-6x^3+12x^2+2x-4$  

•  $6x^3+12x^2-2x-4$  

•  $5x^2-18x+20$  

 $f\left(x\right)=x+3$   $g\left(x\right)=x-2$  

Given the following functions, perform each function operation.

 $\left(\frac{f}{g}\right)\left(x\right)$  

•  $\frac{x+3}{x-2}$  

•  $\frac{x-2}{x+3}$  

•  $-\frac{2}{3}$  

•  $\frac{3}{2}$  

 $f\left(x\right)=x-25$   $g\left(x\right)=x-5$  

Given the following functions, perform each function operation.

 $\left(\frac{f}{g}\right)\left(x\right)$  

•  $x+5$  

•  $\frac{1}{x+5}$  

•  $x-5$  

•  $\frac{x+5}{0}$  

 $f\left(x\right)=2x$   $g\left(x\right)=2x^2-1$  

Given the following functions, find $f\left(g\left(3\right)\right)$  

• 34

• 35

• 71

• 142

 $f\left(x\right)=2x$   $g\left(x\right)=2x^2-1$  

Given the following functions, find $g\left(f\left(-1\right)\right)$  

• 2

• 15

• 7

• -9

 $f\left(x\right)=2x$   $g\left(x\right)=2x^2-1$  


Given the following functions, evaluate the following $f\left(g\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$