Chapter 9.9, Problem 9CYU

To determine

Solve the function.

Answer to Problem 9CYU

  $3x^3-8x^2-66x-20$

Explanation of Solution

Given Information: $f\left(x\right)=3x+10$ , $g\left(x\right)=x^2-6x-2$ and $h\left(x\right)=2x-5$

Formula Used: $\left(f·g\right)\left(x\right)=f(x)·g\left(x\right)$

Calculation:

  $f\left(x\right)=3x+10$ , $g\left(x\right)=x^2-6x-2$ and $h\left(x\right)=2x-5$

Now, Use formula

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

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

  $\left(f·g\right)\left(x\right)=\left(3x+10\right)·\left(x^2-6x-2\right)$

Now,

  $\left(f·g\right)\left(x\right)=3x^3-18x^2-6x+10x^2-60x-20$

Hence,

  $\left(f·g\right)\left(x\right)=3x^3-8x^2-66x-20$