객관식
Simplify each expression.
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8. Rational Expressions and Equations
Simplifying Rational Expressions
객관식
For which of the following values of is the rational expression undefined?
A
B
C
D
검증된 단계별 안내1
Identify when a rational expression is undefined: it is undefined when its denominator is equal to zero.
Set the denominator equal to zero: \(x^2 - 9 = 0\).
Recognize that \(x^2 - 9\) is a difference of squares, which factors as \((x - 3)(x + 3)\).
Set each factor equal to zero to find the values of \(x\) that make the denominator zero: \(x - 3 = 0\) and \(x + 3 = 0\).
Solve each equation to find \(x = 3\) and \(x = -3\), which are the values for which the rational expression is undefined.
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