माना कि f(x) = px + q और g(x) = mx + n। तो f (g(x)) = g (f(x)) के बराबर क्या है?

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NDA (Held On: 23 April 2017) Maths Previous Year paper
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  1. f(p) = g(m)
  2. f(q) = g(n)
  3. f(n) = g(q)
  4. f(m) = g(p)

Answer (Detailed Solution Below)

Option 3 : f(n) = g(q)
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

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गणना:

दिया हुआ: f(x) = px + q और g(x) = mx + n

f (g(x)) = g (f(x))

f (mx + n) = g (px + q)

p (mx + n) + q = m (px + q) + n

pmx + pn + q = pmx + mq + n

pn + q = mq + n

f (n) = g (q)

∴ विकल्प 3 सही उत्तर है।

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