Functions Question 606

Question: If $ \varphi (x)=a^{x} $ , then $ {{{\varphi (p)}}^{3}} $ is equal to

[MP PET 1999]

Options:

A) $ \varphi (3p) $

B) $ 3\varphi (p) $

C) $ 6\varphi (p) $

D) $ 2\varphi (p) $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \varphi ,(x)=a^{x},\Rightarrow \varphi (p)=a^{p} $
$ \therefore ,{{[\varphi ,(p)]}^{3}}={{[a^{p}]}^{3}}=a^{3p}=\varphi ,(3p) $