Let `R` be the set of real numbers `f: R ->R, g: R -> R` be two functions such that `g(f(x))=4x^2+4x+1` and `f(g(x))=2x^2+1`. Find `f(x)` and `g(x)`

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

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

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

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).

Let R^+ be the set of all non-negative real numbers. If f: R^+\ ->R^+ and g: R^+\ ->R^+ are defined as f(x)=x^2 and g(x)=+sqrt(x) . Find fog and gof . Are they equal functions.

Let R^+ be the set of all non-negative real numbers. If f: R^+\ ->R^+ and g: R^+\ ->R^+ are defined as f(x)=x^2 and g(x)=+sqrt(x) . Find fog and gof . Are they equal functions.

If f:R->R and g:R-> R are two mappings such that f(x) = 2x and g(x)=x^2+ 2 then find fog and gog .

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .