If f of x is equal to 3 x plus 2 and g of x is equal to x squared plus 1 , which expression is equivalent to open paren f circ g close paren times x ?
Answer
A
open paren 3 x plus 2 close paren times open paren x squared plus 1 close paren
B
3 times open paren x squared plus 1 close paren plus 2
C
open paren 3 x plus 2 close paren squared plus 1
D
3 x squared plus 1 plus 2
Explanation
The composition (f ∘ g)(x) means substitute g(x) into f. Since g(x) = x² + 1 and f(u) = 3u + 2, we get f(g(x)) = 3(x² + 1) + 2. This matches “3 times (x squared plus 1) plus 2.”
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