If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to ( f. g) (x)? a)(3x + 2)(x 2 + 1) b)3x 2 + 1 + 2 c)(3x + 2)2 + 1 d) 3(x 2 + 1) + 2

Hello from MrBillDoesMath!

 Choice D,  3 (x^2+1) + 2

Discussion:

f(g(x)) = f (x^2 + 1)     * Note: I think that "x2" was meant to be x^2

         = 3 * (x^2 +1) + 2 =

         (3 x^2 + 3) + 2                  

Factor 3 from each term:

         = 3 (x^2 _1) + 2

which is choice "d".

Thank you,

MrB

3(x^2 + 1) + 2

Step-by-step explanation:

100%

answer: the first graph

step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

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