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f(x)=In" "e^(x), g(x)=e^(Inx). Identical...

`f(x)=In" "e^(x), g(x)=e^(Inx)`. Identical function or not?

Text Solution

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The correct Answer is:
Not Identical
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  • Let f be a continuous function on R satisfying f(x+y)= f(x) + f(y) for all x, y in R with f(1) =2 and g be a function satisfying f(x) + g(x)= e^(x) then the value of the integral int_(0)^(1) f(x) g(x) dx is

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  • A function f(x) = log(g(x)), where g(x) is any function of x. If g(x) = e^x , then f(f(x)) is equal to :

    A
    e
    B
    `e^x`
    C
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    A
    `(-oo, 1]`
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