posted by CHRIS .
For which value of x will the fraction 7/2x-6 be undefined?
HOW TO DO THIS ?
A fraction is undefined if its denominator is zero, so set
2x-6 = 0
x = 3
So x = 3 makes the fraction undefined.
Any fraction is undefined when the denominator is equal to zero.
In this problem the denominator is 2x-6.
In order to find what value of x is needed to make the denominator zero, set it equal to x and solve.
Therefore, this fraction is undefined (or has a denominator of zero) when x is equal to 3.