Q. 108 - Precalculus Enhanced with Graphing Utilities

Question

Find a function H that multiplies a number x by 3, then subtracts the cube of x and divides the result by your age.

Step-by-Step Solution

Answer

The function is $H\left(x\right)=\frac{3x-x^3}{22}$.

Step 1. Given Information

We have to find a function H that multiplies a number x by 3, then subtracts the cube of x and divides the result by your age.

Step 2. A number is x which is multiply by 3, so 3 x .

After the multiplication the number is subtract by cube of the $x$ so $3x-x^3$.

Then the result is divide by your age so the function is

$H\left(x\right)=\frac{3x-x^3}{22}$