Question #294a4

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Connor V.
Oct 15, 2017

#x=-55#

Explanation:

We want to isolate the #x# variable on one side of the equation. To do that, we need to add #14# to both sides:

#-x=55#

And to solve for positive #x# instead of #-x#, we can divide both sides by #-1#:

#x=-55#

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