The first thing we are going to do to find (g°f)(3), is find (g°f)(x). To do that, we are going to evaluate g(x) at f(x):
(g°f)(x)=[tex]g(f(x))=g(3x-2)=(3x-2)^2=9x^2-12x+4[/tex]
Now, we can evaluate (g°f) at 3:
[tex]g(f(3))=9(3)^2-12(3)+4[/tex]
[tex]g(f(3))=9(9)-36+4[/tex]
[tex]g(f(3))=81-32[/tex]
[tex]g(f(3))=49[/tex]
We can conclude that the correct answer is c. 49
