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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?

Respuesta :

sqdancefan
A rational expression is undefined when the denominator is zero.
[tex]V=\dfrac{5-x}{x(x-2)}[/tex]
is undefined when x=0 or x=2.
SociometricStar

Answer:

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

Step-by-step 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

[tex]h=\frac{5-x}{x(x-2)}[/tex]

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

[tex]x(x-2)\new 0\\x\neq 0,2[/tex]

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


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