Answer:
(f o g)(x) = 3x^2 + 5
Step-by-step explanation:
(f o g)(x) is a composite function in which g(x) = x^2 + 1 becomes the input to f(x) = 3x + 2.
Write out f(x) = 3x + 2 leaving a blank for each x:
f( ) = 3( ) + 2
Now insert g(x) into the first set of parentheses and x^2 + 1 into the second:
(f o g)(x) = 3(x^2 + 1) + 2, or, after simplification,
(f o g)(x) = 3x^2 + 5
