ধরুন f(x) = px + q এবং g(x) = mx + n, তাহলে f (g(x)) = g (f(x)) এর সমতুল্য কী হবে?

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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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গণনা:

প্রদত্ত: f(x) = px + q এবং 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)

∴ বিকল্প 3 সঠিক উত্তর।

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