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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Functions

NDA 2023 · Mathematics · Functions

Let f(x)=x^2-1 and gof(x)=x- x +1 What is g(15) equal to?

Let f(x)=x2−1f(x)=x^2-1 and gof⁡(x)=x−x+1\operatorname{gof}(x)=x-\sqrt{x}+1 What is g(15) equal to?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

Since, g(x)=1+x−1+x4+1⇒g(15)=16−164+1=4−2+1=3g(x)=\sqrt{1+x}-\sqrt[4]{1+x}+1\Rightarrow g(15)=\sqrt{16}-\sqrt[4]{16}+1=4-2+1=3
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