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An equation of the line tangent to the graph of f(x) = x-1/2x+1 at the point (-1,2) is?

a. 3x - y = -5
b. 3x + y -= -1
c. 3x - y = 1
d. x + y = 1
e. x + 2y = 3

(Show all work)

Respuesta :

Answer: E

Explanation:

Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.