If (p(x)=6x-17), what is the correct value of (p(p(3)))?
Answer and explanation
Correct answer: -11
First evaluate the inner function: \(p(3)=6\times3-17=1\). Then substitute this result into \(p\): \(p(p(3))=p(1)=6\times1-17=-11\). Therefore, the correct answer is \(-11\). Option 1 is only the value of \(p(3)\), not of \(p(p(3))\). Exam tip: In a composite function, always evaluate the expression inside first.
Frequently asked questions
What is the correct answer to this question?
-11
Why is this the correct answer?
First evaluate the inner function: \(p(3)=6\times3-17=1\). Then substitute this result into \(p\): \(p(p(3))=p(1)=6\times1-17=-11\). Therefore, the correct answer is \(-11\). Option 1 is only the value of \(p(3)\), not of \(p(p(3))\). Exam tip: In a composite function, always evaluate the expression inside first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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