Answer: f ° g (x) = x
Step-by-step explanation:
f(x) = 3x - 5
g(x) = [tex]\frac{x+5}{3}[/tex]
fg implies :
f ( [tex]\frac{x+5}{3}[/tex] )
What we have done is just to put in the value of g(x). The next thing is that we will substitute ( [tex]\frac{x+5}{3}[/tex] ) for the value of x in f(x) , that is
fg(x) =3 ( [tex]\frac{x+5}{3}[/tex] ) - 5
fg(x) = x + 5 - 5
fg(x) = x
