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If (p(x)=2x-7), what is (a) when (p(a)=a)?

Answer and explanation

Correct answer: 7

Given \(p(x)=2x-7\), we have \(p(a)=2a-7\). Using the condition \(p(a)=a\), we get \(2a-7=a\). Hence, \(a=7\). Option 5 is not correct because \(p(5)=3\), which is not equal to 5. Exam tip: \(p(a)=a\) means that \(a\) is a fixed point of the polynomial; substitute \(a\) for \(x\) and solve the resulting equation.

Related tags

PolynomialsLinear PolynomialsFixed PointSubstitutionAlgebraic EquationsIntroduction To PolynomialsMathematicsClass 9 Mcq

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