Respuesta :
the answer
3x-12/9-x is undefined if 9-x=0, it means x=9
the value of x=9
proof
3*9 - 12/9-9 = 15/0 (undefined)
3x-12/9-x is undefined if 9-x=0, it means x=9
the value of x=9
proof
3*9 - 12/9-9 = 15/0 (undefined)
Answer:
For x = 9 the given rational expression [tex]\frac{3x-12}{9-x}[/tex] is undefined.
Step-by-step explanation:
Given rational expression [tex]\frac{3x-12}{9-x}[/tex]
We have to find for what value of x is the given rational expression is undefined.
Consider the given rational expression [tex]\frac{3x-12}{9-x}[/tex]
For a fractional expression to be undefined the denominator has to be zero, so that [tex]\frac{x}{0}=\infty[/tex]
Thus, for the given expression [tex]\frac{3x-12}{9-x}[/tex]
Denominator is 9-x
Thus, to make it not defined, Put 9 - x = 0
⇒ x = 9
Thus, for x = 9 the given rational expression [tex]\frac{3x-12}{9-x}[/tex] is undefined.