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Chapter 0: Problem 1

Find all numbers that must be excluded from the domain of each rational expression. $$\frac{7}{x-3}$$

Short Answer

Expert verified
So, the number 3 should be excluded from the domain of given rational expression because it makes the denominator equals to zero.

Step by step solution

01

Understand the Rational Expression

A rational expression is undefined when its denominator equals to zero. So, the purpose of this problem is to find the values of x that will make the rational expression \(\frac{7}{x - 3}\) undefined, meaning the denominator equals to zero.
02

Set the Denominator Equal to Zero

To find when the expression is undefined, set the denominator equal to zero and solve for x. So, \(x - 3 = 0\)
03

Solve for x

By adding 3 to both sides of the equation: \(x = 3\)

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