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

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (-1, e) (b) (1, e) (-e ,-1) (d) (-e ,1)

The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is (a) (-oo,oo) (b) [0,1] (-1,0] (d) (-1,1)

If f(x)=1+1/x int_1^x f(t) dt, then the value of (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)a n df(1/2)=1 . Then the value of int_(1/2)^1f(x)dx lies in the interval (a) (2e-1,2e) (b) (3-1,2e-1) (c) ((e-1)/2,e-1) (d) (0,(e-1)/2)

If f(x)=(log)_e((x^2+e)/(x^2+1)) , then the range of f(x)

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

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_2 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

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

Consider the real-valued function satisfying 2f(sinx)+f(cosx)=xdot then the (a)domain of f(x)i sR (b)domain of f(x)i s[-1,1] (c)range of f(x) is [-(2pi)/3,pi/3] (d)range of f(x)i sR

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