Chapter 9, Problem 66SGR

To determine

To compute the value of $\left(f+g\right)\left(x\right)$ for two given functions.

Answer to Problem 66SGR

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

Explanation of Solution

Given information :

The function provided is $f\left(x\right)=4x^2-8x+2$ , $g\left(x\right)=-5x^2+x+1$ and $h\left(x\right)=3-x^2$ .

Formula used :

Use the formula $\left(f+g\right)\left(x\right)=\left(f\right)\left(x\right)+\left(g\right)\left(x\right)$ .

  $f\left(x\right)=4x^2-8x+2$

  $g\left(x\right)=-5x^2+x+1$

These are the given functions.

  $=4x^2-8x+2-5x^2+x+1$

Use the property $\left(f+g\right)\left(x\right)=\left(f\right)\left(x\right)+\left(g\right)\left(x\right)$

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

This is the answer.