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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Functions

NDA 2019 · Mathematics · Functions

Paragraph: Let f(x) = x^2 , g(x) = tan x and h(x) = ln x. Question:...

Paragraph: Let f(x) = x2x^2, g(x) = tan x and h(x) = ln x.
Question: What is [fo(fof)][f o(f o f)] (2) equal to?

Options

  1. A2
  2. B8
  3. C16
  4. D256

Correct answer

D. 256

Step-by-step solution

[fo(fof)](2)=((x2)2)2=x8at x=2, we get x8=28=256\begin{aligned} & [f o(f o f)](2) \\ & =\left(\left(x^2\right)^2\right)^2=x^8 \\ & \text{at } x=2 \text{, we get } \\ & x^8=2^8=256\end{aligned}
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