A) \[f(a)=g(c)\]
B) \[f(b)=g(b)\]
C) \[f(d)=g(b)\]
D) \[f(c)=g(a)\]
Correct Answer: C
Solution :
[c] Given, \[f(x)=ax+b,g(x)=cx+d\] and \[f\{g(x)\}=g\{f(x)\}\] \[\Rightarrow f(cx+d)=g(ax+b)\Rightarrow a(cx+d)+b=c(ax+b)+d\]\[\Rightarrow acx+ad+b=cax+bc+d\Rightarrow ad+b=bc+d\] \[\Rightarrow f(d)=g(b)\]
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