Help, so confused

Question

Suppose that we don't have a formula for g(x) but we know that g(3)=−5 and g'(x)=√(x2+7) for all x.

(a) Use a linear approximation to estimate g(2.99) and g(3.01). (Round your answers to two decimal places.)

Answer 1

desmos.com/calculator/flkjz5b5os

I inadvertently used f(x) and F(x) instead of g(x) on the Desmos graph above.