Suppose we don't have a formula for g(x) but we know that g(2)=-4 and g'(x)+sqrt(x^2+5) for all x.. (a) use linear approximation to estimate g(1.95) and g(2.05). (b) are your estimates in part (a) too large or too small? explain.

So the question is to estimate the value of g(1.95) and g(2.05). So by calculating i came up with a values of both the given and here are the following: 
G(1.95) = -3.8 while the G(2.05) is 4.2.
I hope you are satisfied with my answer 

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