identify the values of x what makes this expression undefined x-3/4x-7

Question

accessdenied · Answer

$$ \frac{x-3}{4x - 7} \text{  ?}$$

anonymous · Answer

yes!

accessdenied · Answer

So, you're looking for the point where the expression is undefined.  One of the ways we could have an undefined answer is if we have a denominator of 0, correct?  Since division by zero is not well defined in the Real numbers.

anonymous · Answer

ohkay ... plz go on

accessdenied · Answer

Okay, so, if we look at our denominator, we have $4x - 7$.  Thus, by our logic above, if $4x - 7 = 0$, then our expression is undefined.  You can just solve for $x$ in that expression to find the exact value of $x$ that is not defined for our expression.

accessdenied · Answer

In $4x - 7 = 0$, solve for $x$, I mean.

anonymous · Answer

dang!! thanks so much anyway gtg

accessdenied · Answer

Thus, $x=\frac{7}{4}$ would be the $x$-value where the expression is undefined.

You're welcome.  Goodbye!  :)