If `f(x)`=`(1−x)`^`1`/`2` and `g(x)=ln(x)` then the domain of `(gof)(x)` is

If f(x) = sqrt(2-x) and g(x) = sqrt(1-2x) , then the domain of fog (x) is

If f(x) = (3)/(x-2) and g(x) = sqrt(x + 1) , find the domain of f @ g .

If domain of f(x) is [1, 3], then the domain of f(log_(2)(x^(2)+3x-2)) is

Suppose f and g are two functions such that f,g: R -> R f(x)=ln(1+sqrt(1+x^2)) and g(x)=ln(x+sqrt(1+x^2)) then find the value of xe^(g(x))f(1/x)+g'(x) at x=1

If f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is _____ and its range is __________.

If f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is _____ and its range is __________.

Let f(x) = log_(e) x and g(x) =(x^(4) -2x^(3) + 3x^(2) - 2x+2)/(2x^(2) - 2x + 1) Then , the domain of fog (x) is

If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = log x , then the value of (gof) (2) is

If f(x)=sqrt(x+3) and g(x)=x^2+1 be two real functions, then find fog and gof .

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain .