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Class 9MathematicsIntroduction to PolynomialsLinear polynomialsExpert
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If (p(x)=9x-26), what is the correct value of (p(p(3)))?

Answer and explanation

Correct answer: -17

First evaluate the inner function: \(p(3)=9\times3-26=1\). Then \(p(p(3))=p(1)=9\times1-26=-17\). Hence, the correct answer is \(-17\). Option \(1\) is only the value of \(p(3)\); it must be substituted into \(p\) once more. Exam tip: In a composite function, always evaluate the innermost function first.

Related tags

PolynomialsLinear PolynomialsComposite FunctionsFunction EvaluationClass 9 MathematicsIntroduction To PolynomialsMathematicsClass 9 Mcq
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10 more MCQs
  1. 1If the highest power in a polynomial is 1, what is it called?
  2. 2Which expression is not a linear polynomial?
  3. 3Which expression is a polynomial but not a linear polynomial?
  4. 4Which statement is correct about the zeroes of a non-zero linear polynomial?
  5. 5Which expression is a polynomial in (s) and has degree (1)?
  6. 6If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which property of its graph is always true?
  7. 7Which of the following expressions is a linear polynomial in \(x\)?
  8. 8A taxi charges a fixed fee of ₹50 and ₹12 per kilometre. If the distance travelled is represented by \(x\), which statement about \(C(x)=12x+50\) is correct?
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  10. 10What is the degree of a linear polynomial?
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