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) $