Assertion (A) : If `f(x)=logx," then "f(x)gt0" for all "xgt0`.
Reaosn (R) : `f(x)=logx,` is defined for all `xgt0`

Consider the following statements : Statement I : xgtsinx" for all "xgt0 Statement II : f(x)=xsinx is an increasing function for all xgt0 Which one of the following is correct in respect of the above statements?

If f(x)={{:(3x-1" when "xle0),(x+1" when "xgt0):} , find f(-1) and f(0).

f(x)=(logx)/(x)(xgt0) is increasing in

If xgt0 then the interval of monotonically increasing of f(x)=2x^(2)-logx is

IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

3f(x)-f(1/x)=log_(e)x^(4)(xgt0) , then f(10^(-x)) is equal to

If f(x)=lim_(ntooo) n(x^(1//n)-1)," then for "xgt0, ygt0,f(xy) is equal to

If f(x)=lim_(ntooo) n(x^(1//n)-1)," then for "xgt0, ygt0,f(xy) is equal to