Question

The volume of a packaging box is 5 - x cubic feet.The width of the box is x feet and the length is x - 2 feet. The height is given by the expression 5 -x x(x-2). Which of these values of x make the expression undefined?

Answer 1

For x = 0 and x=2, the expression is undefined.

Explanation:

We have been given that

V = (5-x) cubic feet

w = x feet

l = (x-2) feet

And the height is given by the expression

`h=(5-x)/(x(x-2))`

Now, we know that a rational function is not defined if the denominator is zero. Hence, in order to the expression for height to be defined, we have

`x(x-2)\\ew 0\\x\\eq 0,2`

Hence, for x = 0 and x=2, the expression is undefined.

Answer 2

A rational expression is undefined when the denominator is zero.

`V=(5-x)/(x(x-2))`
is undefined when x=0 or x=2.