Chapter 9.9, Problem 3CYU

To determine

Solve the function.

Answer to Problem 3CYU

  $x^2-2x-9$

Explanation of Solution

Given Information: $f\left(x\right)=x^2-5x-9$ , $g\left(x\right)=4x+1$ and $h\left(x\right)=3x$

Formula Used: $\left(f+h\right)\left(x\right)=f(x)+h\left(x\right)$

Calculation:

  $f\left(x\right)=x^2-5x-9$ , $g\left(x\right)=4x+1$ and $h\left(x\right)=3x$

Now, Use formula

  $\left(f+h\right)\left(x\right)=f(x)+h\left(x\right)$

Now, put the value of $f(x)$ and $h(x)$

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

Hence,

  $\left(f+h\right)\left(x\right)=x^2-2x-9$