Question

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.

Answer 1

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