Respuesta :

[tex]\sqrt{4x-5}[/tex]Answer:

f(g(x))= [tex]\sqrt {(2/x-1)+5}[/tex]; g(f(x))= 1/[([tex]\sqrt{4x-5}[/tex])-1]

Step-by-step explanation:

- plugin g(x) whenever you see an x in f(x); [tex]\sqrt{4*(1/2x-2)+5}[/tex]

then simplify into [tex]\sqrt{(2/x-1)+5}[/tex]

- plugin f(x) whenever you see an x in g(x); 1/[2([tex]\sqrt{4x-5}[/tex])-2]; t5ake the GCM or 2 out of the denominator and you are left with 1/[([tex]\sqrt{4x-5}[/tex])-1]