If f (x) = 3x + 2 and g (x) = x^2 + 1, which expression is equivalent to (g (f (x)) ?

Whenever we are given one function and must calculate a funciton of the funciton, such as g (f (x)) in this case, we simply substitute the second function, f (x) in this case, in the first function, g (x) in this case, wherever the first function has a variable. Therefore, g (f (x)) = (3x + 2) ^2 + 1 g (f (x)) = 9x^2 + 12x + 4 + 1 g (f (x)) = 9x^2 + 12x + 5