The domain of `f(x)` is (0,1) Then the domain of `(f(e^x)+f(1n|x|)` is
(a)`(-1, e)`
(b) `(1, e)`
(c)`(-e ,-1)`
(d) `(-e ,1)`

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is

Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-constant, and differentiable function such that f^(prime)(x)<2f(x) and f(1/2)=1 . Then the value of int f(x)dx lies in the interval for x:[1/2,1] (a) (2e-1,2e) (b) (3-1,2e-1) (c) ((e-1)/2,e-1) (d) (0,(e-1)/2)

The domain of definition of the function f(x)=sqrt(1+log_(e)(1-x)) is

The minimum value of e^((2x^2-2x+1)sin^(2)x) is a. e (b) 1/e (c) 1 (d) 0

Find the domain and range of the function f(x) = sin^(-1)((1+e^(x))^(-1)) .

Domain of the function f (x)= (x)/(log _(e) (1+x)) is-

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_e 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

The domain of the real valued function f(x)=3e^sqrt(x^2-1)log(x-1) is

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

Find the domain of the function: f(x)=cos^(-1)((6-3x)/4)+cos e c^(-1)((x-1)/2)