If the function {f}: 1+\to Rf( {x})=\log x then the value of f(x)+f(y) is

BPSC 53-55th Exam Prelims 17 Apr 2011 Solved Paper

Question : 72 of 150

Marks: +1, -0

If the function

{f}: 1+→ Rf( {x})=\log

x

then the value of

f(x)+f(y)

Solution:

From the question,

f(x)=\log x

f(y)=\log y

f(x)+f(y)=\log x+\log y

=\log x y

⇒ f(x)+f(y)=f(x y)

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