Question

Se f(x) = 3x + 1 e fog (x) = x - 2, determine g (x).

Me ajudem!

Answer 1

$f\circ g(x)=x-2\\\\\\f(x)=3x+1\\\\f\circ g(x)=3[g(x)]+1\\\\x-2=3[g(x)]+1\\\\x-2-1=3[g(x)]\\\\x-3=3[g(x)]\\\\\dfrac{x-3}{3}=g(x)\\\\\\\boxed{g(x)=\dfrac{x-3}{3}}$