Addition and Subtraction of Functions

Find the sum of the given function. $f\left(x\right)=x^2-2x-3$  and  $g\left(x\right)=4x^2+3x+6$  

•  $\left(f+g\right)\left(x\right)=5x^2+x+3$  

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

•  $\left(f+g\right)\left(x\right)=5x^2+4x+9$  

Find the sum of the given functions: $f\left(x\right)=7x^3-3x^2+4x-6$  and  $g\left(x\right)=6x^3-8x^2-5x-7$  

•  $\left(f+g\right)\left(x\right)=13x^3-11x^2-x-13$  

•  $\left(f+g\right)\left(x\right)=13x^3-11x^2+x+13$  

•  $\left(f+g\right)\left(x\right)=13x^2-11x^2-x-13$  

Find the difference of the given function. $f\left(x\right)=x^2-2x-3$  and  $g\left(x\right)=4x^2+3x+6$  

•  $\left(f-g\right)\left(x\right)=-3x^2-5x-9$  

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

•  $\left(f-g\right)\left(x\right)=3x^2-5x+9$  

Find the difference of the given functions: $f\left(x\right)=7x^3-3x^2+4x-6$  and  $g\left(x\right)=6x^3-8x^2-5x-7$  

•  $\left(f-g\right)\left(x\right)=x^3+5x^2+9x+1$  

•  $\left(f-g\right)\left(x\right)=x^3+5x^2+9x-1$  

•  $\left(f+g\right)\left(x\right)=x^3+5x^2+9x+1$  

Which of the following is the first step in performing operations on functions?

• Transform into operation form.

• Replace the value of each function.

• Remove the grouping symbols.

• Combine like terms then perform the indicated operation

Which of the following is the second step in performing operations on functions?

• Transform into operation form.

• Replace the value of each function.

• Remove the grouping symbols.

• Combine like terms then perform the indicated operation

Which of the following is the third step in performing operations on functions?

• Transform into operation form.

• Replace the value of each function.

• Remove the grouping symbols.

• Combine like terms then perform the indicated operation

Which of the following is the fourth step in performing operations on functions?

• Transform into operation form.

• Replace the value of each function.

• Remove the grouping symbols.

• Combine like terms then perform the indicated operation

What operation is being illustrated below?

 $k\left(x\right)+l\left(x\right)=\left(k+l\right)\left(x\right)$  

(a)  

What operation is being illustrated below?

 $k\left(x\right)-l\left(x\right)=\left(k-l\right)\left(x\right)$  

(a)