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
2x=6
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.

2x-6=o

2x=6

x=3

Therefore, this fraction is undefined (or has a denominator of zero) when x is equal to 3.

thanks

To find the value of x for which the fraction 7/(2x-6) is undefined, we need to identify the values that would make the denominator equal to zero.

In this case, the denominator is 2x - 6. We need to solve the equation 2x - 6 = 0 to determine the values of x that would result in a zero denominator.

To solve this equation, we can add 6 to both sides:
2x - 6 + 6 = 0 + 6
2x = 6

Then, divide both sides by 2 to isolate x:
2x/2 = 6/2
x = 3

Hence, the value of x that would make the fraction 7/(2x-6) undefined is x = 3.