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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Functions

NDA 2022 · Mathematics · Functions

If f(x)=4 x+3 , then what is f^ ^ f^ ^ f(-1) equal to?

If f(x)=4x+3f(x)=4 x+3, then what is f∘f∘f(−1)f^{{}^{\circ}} f^{{}^{\circ}} f(-1) equal to?

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

A. -1

Step-by-step solution

Given that f(x)=4x+3\mathrm{f}(\mathrm{x})=4 \mathrm{x}+3∴ fofo f(−1)=f(f(f(−1)))=f(f(4(−1)+3))=f(f(−1))=f(4(−1)+3)=f(−1)=4(−1)+3=−1\begin{aligned} & \therefore \text{ fofo } \mathrm{f}(-1)=\mathrm{f}(\mathrm{f}(\mathrm{f}(-1))) \\ & =\mathrm{f}(\mathrm{f}(4(-1)+3))=\mathrm{f}(\mathrm{f}(-1)) \\ & =\mathrm{f}(4(-1)+3)=\mathrm{f}(-1)=4(-1)+3=-1\end{aligned}$$
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