let f and g be real valued function ,such that fog(x)= cos x3and gof(x) = cos3 x find the funcion - Maths - Relations and Functions

Question

let f and g be real valued function ,such that fog(x)= cos
x3 and gof(x) = cos3 x find the funcion f and
g

Anuradha Sharma · Accepted Answer

fogx=cosx3gofx=cos3x=cosx3gfx=cosx3So here we can see that fx=cosxgx=x3Such that fogx=fgx=cosx3

let f and g be real valued function ,such that fog(x)= cos x3 and gof(x) = cos3 x find the funcion f and g