Find `f0g` and `g0f`, giving their domains, where `f(x)=e^x` and `g(x)=logx`

Find gof and fog, if f:R to R and g: R to R are given by f(x)=|x| and g(x)=|2x-5| . Also, show that gof != fog.

Find f0g and g0f : f(x) = 2x , g(x)=sinx

Find f0g and g0f : f(x)=x+1 , g(x)=cosx

Find f0g and g0f , if f(x)=8x^3 and g(x)= x^(1/3)

Find the domain and range of f if . f(x)=1/(x(x-1))

Find the domain for which the functions f(x)= 2x^2-1 and g(x)=1-3x are equal.

Find the domain and range of f if . f(x)=|x+1|/(x+1)

Find the domain and range of f if . f(x)=sqrt(1-x)

Find the domain and range of f if . f(x)=1/(x^2-1)

Find the domain and range of f if . f(x)=x^2/(x^2+1)