Verified Answer :

Nirina7

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)

Answer:

For x = 9  the given rational expression \(\frac{3x-12}{9-x}\)  is undefined.

Step-by-step explanation:

Given rational expression \(\frac{3x-12}{9-x}\)

We have to find for what value of x is the given rational expression is undefined.

Consider the given rational expression \(\frac{3x-12}{9-x}\)

For a fractional expression to be undefined the denominator has to be zero, so that \(\frac{x}{0}=\infty\)

Thus, for the given expression \(\frac{3x-12}{9-x}\)

Denominator is 9-x

Thus, to make it not defined, Put 9 - x = 0

⇒ x = 9

Thus, for x = 9  the given rational expression \(\frac{3x-12}{9-x}\)  is undefined.

Related Questions