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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Functions

NDA 2014 · Mathematics · Functions

If f(x)=a x+b and g(x)=c x+d such that f(g(x))=g(f(x)) , then which...

If f(x)=ax+bf(x)=a x+b and g(x)=cx+dg(x)=c x+d such that f(g(x))=g(f(x))f(g(x))=g(f(x)), then which one of the following is correct?

Options

  1. Af(c)=g(a)f(c)=g(a)
  2. Bf(a)=g(c)f(a)=g(c)
  3. Cf(c)=g(d)f(c)=g(d)
  4. Df(d)=g(b)f(d)=g(b)

Correct answer

D. f(d)=g(b)f(d)=g(b)

Step-by-step solution

The correct answer is option(D)
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