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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
If f(x)=ax+bf(x)=a x+b and g(x)=cx+dg(x)=c x+d, then f(g(x))=g(f(x))f(g(x))=g(f(x)) ⇔\Leftrightarrow
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Correct option: C
f(d)=g(b)f(d)=g(b)
Option C (f(d)=g(b)f(d)=g(b)) is correct because it is the simplified condition derived from equating f(g(x))f(g(x)) and g(f(x))g(f(x)).

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