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Practice Online Test Series for JEE Main 2018 & NEET 2018
If `e^f(x) =(10+x)/(10-x), x ``in`(-10, 10)` and f(x)=k.f ``((200x)/(100+x^2))` then k=
Let `f(x) = x/(e^x-1)+ x/2+1`, then f is
Which of the following is an even function
Period of `f(x)= e^(cos{x})+sin pi[x] ` is `([.]` and `{.}` denote the greatest integer function and fractional part function respectively
The period of `f(x)=sqrt(x-[x])` is
The domain of `f(x)=sqrt(x-2)+1/log(4-x)` is
`f={(x.x^2/(x^2+1)): x in R}`, be a function R into R, range of 'f'
The equivalent function of `log x^2` is
The number of linear functions which map `[-1, 1]` to `[0, 2]` are
The number of one-one functions that can be defined from `A={4, 8, 12, 16} to B is 5040, then n(B)=
Let `A= {1,2,3}` and `B= {a,b,c}`. If l is number of functions from A to B and m is number of one-one functions from A to B, then
If `f(x) = sin ^-1 {3-(x-6)^4}^(1/3) then f^-1(x)=`
If `f:R -> R` is defined by `f(x) =x-[x]-1/2` for `x in R`, where [x] is the greatest integer not exceeding x, then `{x in R; f(x)=1/2}=`
Let `f(x)=nx+n-[nx+n]+tan (pix)/2`, where [x] is the greatest integer `<= x` and `n in N`. It is
The domain of the function `f(x)= sin^-1(x-3)/sqrt(9-x^2)` is
The domain of `f(x) =sin^-1{log_3(x^2/3)}` is
The domain of `f(x)=log_x(9-x^2)` is
The domain of `f(x) =3/(4-x^2)+ log_10 (x^3-x)` is
The range of `f(x)= sin^-1[1/2+x^2]` is ([.] denotes greatest integer function)
The range of `f(x) = sin^-1 x + cos^-1 x + tan^-1 x` is
