If $f,g\colon\mathbb{R}\to\mathbb{R}$ have the following properties:
i) $f(g(x))=x^2-3x+4 $
ii) $g(f(2))=2 $
Determine at least a Real solution for the equation $f(x)=g(x)$
Choose the right answer:
$a)x=1$
$b)x=-2$
$c)x=2$
$d)x=-2$
$e)x=4$
$f)x=3$
I want to know how to solve this the practical way, not by plugging the solutions in. Thank you very much for your help!