F (X) = X+3

g (X) = ?

gf (X) = x²+6x+2

g (x) = x^2 - 7

Step-by-step explanation:

gf (x) = x^2 + 6x + 2

Converting to vertex form:-

g (fx) = (x + 3) ^2 - 9 + 2

= (x + 3) ^2 - 7.

As you replace the x in g (x) with f (x) in order to get g (f (x) then,

since f (x) = (x + 3), g (x) is x^2 - 7 (answer)

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