Question

f(X)=X+3
g(X)=?
gf(X)= x²+6x+2

Answer 1

Answer:

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)

Answer 2

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