If `f(x)=4x^(2)` and `g(x)=x^(1/2)` then find gof and fog.

If f:[0,oo)rarr R and g:R rarr R be defined as f(x)=sqrt(x) and g(x)=-x^(2)-1, then find gof and fog.

Suppose f(x)=x^(2)+2x+3 and g(x)=e^(x) then find fog(x) and gof(x)

If f(x)=x^(2) and g(x)=3x. Then find gof(x),x=1,2,3.

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If f(x)=e^(x) and g(x)=log_(e)x(x>0), find fog and gof .Is fog =gof?

If f:R rarr R,g:R rarr R defined as f(x)=sin x and g(x)=x^(2), then find the value of (gof)(x) and (fog)(x) and also prove that gof f= fog.

If f(x)=e^(x),g(x)=log e^(x) then find fog and gof

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

Let f : R rarr R and g : R rarr R be two functions such that fog (x) = sin x^(2) and gof (x) = sin^(2)x . Then , find f(x) and g(x).

If f(x)=(x+2)/(x+1) and g(x)=(x-2)/(x), then find the domain of fog(x)