If `f:R -> R, g:R -> 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 != fog`.

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

Function f: R to R and g : R to R are defined as f(x)=sin x and g(x) =e^(x) . Find (gof)(x) and (fog)(x).

Function f: R to R and g : R to R are defined as f(x)=sin x and g(x) =e^(x) . Find (gof)(x) and (fog)(x).

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

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.

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: 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 : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .