Chapter 9.9, Problem 23PPS

To determine

Solve the function.

Answer to Problem 23PPS

  $25x^3-40x^2$

Explanation of Solution

Given Information: $f\left(x\right)=-x^2+2x+1$ , $g\left(x\right)=5x-8$ , $h\left(x\right)=-3x-3$ and $k\left(x\right)=5x^2$

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

Calculation:

  $f\left(x\right)=-x^2+2x+1$ , $g\left(x\right)=5x-8$ , $h\left(x\right)=-3x-3$ and $k\left(x\right)=5x^2$

Now, Use formula

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

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

  $\left(g·k\right)\left(x\right)=\left(5x-8\right)·\left(5x^2\right)$

Hence,

  $\left(g·k\right)\left(x\right)=25x^3-40x^2$