SOLUTION: If g(x)=x^2+3x-1,find (g(x+h)-g(x))/h The answer is 2x+hbut I keep getting 2x+h+3 This is what I did: G(x+h)-g(x): (x+h)^2+3(x+h)-1-(x^2+3x-1)=x^2+xh+h^2+3x+3h-1-x^2-3x+1=2xh+

Algebra ->  Functions -> SOLUTION: If g(x)=x^2+3x-1,find (g(x+h)-g(x))/h The answer is 2x+hbut I keep getting 2x+h+3 This is what I did: G(x+h)-g(x): (x+h)^2+3(x+h)-1-(x^2+3x-1)=x^2+xh+h^2+3x+3h-1-x^2-3x+1=2xh+      Log On


   



Question 636560: If g(x)=x^2+3x-1,find (g(x+h)-g(x))/h
The answer is 2x+hbut I keep getting 2x+h+3
This is what I did:
G(x+h)-g(x): (x+h)^2+3(x+h)-1-(x^2+3x-1)=x^2+xh+h^2+3x+3h-1-x^2-3x+1=2xh+h^2+3h
(2xh+h^2+3h)/h= 2x+h+3
Thanks in advance!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
g(x)=x^2+3x-1
%28g%28x%2Bh%29-g%28x%29%29%2Fh+=+2x+%2B+h+%2B+3
and...
lim%28+h-%3E0%2C+%282x+%2B+h+%2B+3%29+=+2x+%2B3+%29