`y=y(x)` is a function such that `2^x+2^y=1.` Hence the domain is the interval

The function y=x/(1+x^2) decreases in the interval

If the function y=f(x) is defined by 2^(x)+2^(y)=2 then the domain of f(x) is

If log_(x)y.log_(xy)y*log_(x^(2)y)y=(1)/(6) then express y as the real function of x and indicate the domain of definition

Does the equation y = 2x-9 represent y as a function of x ? If so, find the domain of definition and range of the function.

The function y = f(x) is defined by x=2t-|t|, y=t^2+|t|, t in R in the interval x in [-1,1] , then

Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the interval [- 1, 3].

Let y = y(x) be the solution of the differential equation ((x+2)e^(((y+1)/(x+2))) + (y+1)) dx = (x+2) dy, y(1) = 1 . If the domain of y = y(x) is an open interval (alpha, beta) , then |alpha + beta| is equal to ________ .

Domain of the function y=h(x) is

The function y=f(x) is defined by x=2t-|t|,y=t^(2)+|t|,t in R in the interval x in[-1,1], then