If and , then is equivalent…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

If f(x)=ax+bf(x)=ax+b and g(x)=cx+dg(x)=cx+d, then f(g(x))=g(f(x))f(g(x))=g(f(x)) is equivalent to (a) f(a)=g(c)f(a)=g(c) (b) f(b)=g(d)f(b)=g(d) (c) f(d)=g(b)f(d)=g(b) (d) f(c)=g(a)f(c)=g(a)

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