Chapter 9.9, Problem 2CYU

To determine

Solve the function.

Answer to Problem 2CYU

  $x^2-9x-10$

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,

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