Respuesta :
The function g(x) = 2x + 3 if f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
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Suppose f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)². What is g(x)?
A.g(x) = x + 3
B.g(x) = x + 4
C.g(x) = 2x + 3
D.g(x) = 2x + 4
We have:
f(x) = 2(x + 1)²
Let take g(x) = 2x + 3
Find f(g(x))
f(2x + 3) = 2[(2x+3) + 1]²
= 2(2x + 4)² = f(g(x))
Thus, the function g(x) = 2x + 3 if f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
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