Question

What value of x, (6)/(x - 3) becomes undefined?)

Answer 1

The expression (6)/(x - 3) becomes undefined when the denominator is zero. Setting x - 3 = 0 and solving for x gives us the value x = 3, where the expression is undefined.

Step-by-step explanation:

The student asked what value of x makes the expression (6)/(x - 3) become undefined.

An expression becomes undefined when its denominator equals zero, because division by zero is not allowed in mathematics.

To find the value of x that makes the denominator 0, we set (x - 3) equal to zero and solve for x.

Here is the calculation step by step:

1. Set the denominator equal to zero: x - 3 = 0.
2. Solve for x: x = 3.

Thus, when x equals 3, the expression becomes undefined because we would be dividing by zero.