SOLUTION: The function 4x+3/x is an anti derivative of g(x). Then g(1) is closest to? The answer is 1. im not sure how they got this answer. Any help is appreciated.

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Question 75361: The function 4x+3/x is an anti derivative of g(x). Then g(1) is closest to?
The answer is 1. im not sure how they got this answer. Any help is appreciated.

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!

The function 4x+3/x is an anti derivative of g(x). Then g(1) is closest to?
The answer is 1. im not sure how they got this answer. Any help is appreciated.
Find the g(x).
int+%28%28g%28x%29%29dx%29 = 4x + 3/x

= 4x^(1-1) + 3(-1)x^(-1-1)
= 4 - 3x^(-2)
g(x)= 4 - 3/x^2
g(1) = 4 - 3/(1)^2
= 4 - 3/1
= 4 - 3
= 1