A) \[{{3}^{2x+1}},\ {{3}^{{{x}^{2}}+1}}\]
B) \[{{3}^{2x+1}},\ {{3}^{{{x}^{2}}}}+1\]
C) \[{{3}^{2x}}+1,\ {{3}^{{{x}^{2}}+1}}\]
D) None of these
Correct Answer: C
Solution :
\[\varphi \,\left\{ \psi \,(x)\, \right\}=\varphi \,({{3}^{x}})={{({{3}^{x}})}^{2}}+1={{3}^{2x}}+1\] and \[\psi \,\left\{ \varphi \,(x)\, \right\}=\psi \,({{x}^{2}}+1)={{3}^{{{x}^{2}}+1}}\].
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