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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Functions

NDA 2019 · Mathematics · Functions

Paragraph: Let f(x)=x^2+2 x-5 and g(x)=5 x+30 Question: Consider...

Paragraph: Let f(x)=x2+2x−5f(x)=x^2+2 x-5 and g(x)=5x+30g(x)=5 x+30
Question: Consider the following statements: 1. f[g(x)]f[g(x)] is a polynomial of degree 3. 2. g[g(x)]g[g(x)] is a polynomial of degree 2. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

(i) f(g(x))=(5x+30)2+2(5x+30)−5⇒f(g(x))f(g(x))=(5 x+30)^2+2(5 x+30)-5\Rightarrow f(g(x)) is second degree. (ii) g(g(x))=5(5x+30)+30⇒g(g(x))g(g(x))=5(5 x+30)+30\Rightarrow g(g(x)) is first degree ∴\therefore both statements are wrong.
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