For what value or values of x is the expression 3x/x^2-x undefined?
I bet you mean:
3x/(x^2-x)
which is
3/(x-1)
the denominator is zero if x = 0
If x=1 the denominator is zero
yes
To determine the value or values of x for which the expression (3x)/(x^2 - x) is undefined, we need to identify the values that would make the denominator equal to zero.
In this case, the denominator is x^2 - x. To find the values that would make the denominator equal to zero, we set it equal to zero and solve for x:
x^2 - x = 0
Factoring out an x from both terms, we get:
x(x - 1) = 0
Now, for the product of two numbers to be equal to zero, at least one of the numbers must be zero. Therefore, we have:
x = 0 or x - 1 = 0
Solving these equations, we find:
x = 0 or x = 1
Thus, the expression (3x)/(x^2 - x) is undefined when x is equal to 0 or 1.