I need help finding the compositions of these functions

Question

Given f(x) = 2x² + 1

 and g(x) = 5x − 7

I need to find f(g(2))

and f(g(x))

Answer 1

f(x) = 2x^2 +1

g(x) =5 -7x

f(g(x)) = 2(5-7x)^2 +1) = 2(25-24x +49x^2) + 1 = 50-48x +98x^2 +1 =

f(g(x)) = 98x^2 -48x +51

f(g(2)) = 98(2)^2 - 48(2) + 51 = 392-96+51 = 347

f(g(2)) = 347