Chapter 9.9, Problem 1CYU

To determine

Solve the function.

Answer to Problem 1CYU

  $5x^2+x+4^x$

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: $\left(f+g\right)\left(x\right)=f(x)+g\left(x\right)$

Calculation:

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

Now, to find $\left(f+g\right)\left(x\right)$ , Use formula

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

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

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

Hence,

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