Chapter 9.9, Problem 4CYU

To determine

Solve the function.

Answer to Problem 4CYU

  $9x+10-x^2$

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

Calculation:

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

Now, Use formula

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

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

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

Hence,

  $\left(g-f\right)\left(x\right)=9x+10-x^2$