Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = −3 and g'(4) = 2.
(Enter your answer as an equation in terms of y and x.)

For this case m represent the slope and is given by and from the other condition given we know that . And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

Step-by-step explanation:

For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions:

So we need a function like this one:

For this case m represent the slope and is given by and from the other condition given we know that . And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

tip $2.90

total $17.40

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5