Let f(x)=ax+b and g(x)=cx+d. The condition f(g(x))=g(f(x)) holds for all x if and only if …

MHT CET 2026 Mathematics question

Let and . The condition holds for all if and only if …

Answer: (C)

and . The coefficients of are already equal, so equality for all holds iff . Now and , so the condition is

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Question ID VK-100461