Question

At which value of x is the expression x-2/x+3 undefined

Answer 1

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the given expression

`(x-2)/(x+3)`

STEP 2: Define the condition for making a fractional expression undefined.

A fractional expression is said to be undefined when the denominator equals zero. Therefore, the value of x that makes the expression undefined will be the value of x that makes the denominator equals zero.

STEP 3: Find the value of x that makes the expression undefined

`\begin{gathered} (x-2)/(x+3) \\ x+3\Rightarrow\text{denominator} \\ \therefore x+3=0 \\ \text{Subtract 3 from both sides} \\ x+3-3=0-3 \\ x=-3 \end{gathered}`

Hence, the value of x that makes the expression undefined is -3