Question

consider the function f(x)= 3x+4/x-2 ,x not equal to 2 .find the function g(x) on a suitable domain such that gof (x)=x=fog(x)​

Answer 1

Step-by-step explanation:

This can be done analytically...

just by assuming that , g(x) must be a function that doesn't change the function f(x) , when we replace x → g(x) and vice versa

and the most suitable answer would be g(x) = x

so, g(f(x)) = (3x+4)/(x-2)

and f(g(x)) will always remain as f(x) since g(x) = x

Answer 2

Answer:

consider the function f( x) =3x+4/x+2,x is not equal to 2 find a function g(x) on a sutable domain such that g°f=x=f°g