For what value of x is this expression undefined?

Question

Algebra question:

(x+10)/(3x-45)

Answer 1

One way an expression can be undefined is when you divide by zero. Division by zero is an undefined operation in math. So, since the denominator is 3x - 45, the expression is undefined when 3x - 45 = 0

Solving 3x - 45 = 0 we get:

3x = 45

x = 15

So, the expression is undefined when x = 15

Answer 2

Division by zero is an indeterminate form when the denominator is zero the expression is undefined.

(x+10)/(3x-45)

In this one, the denominator is zero when 3x-45=0 or x=15.

The expression is undefined for x=15.



Answer 3

For all real values of x except x=15:

(x+10) / (3x-45)

has a value.

When x = 15, however, the DENOMINATOR is zero. Division by zero is UNDEFINED