The local linear approximation to the function g at x = 6 is y = -3x + 4.
What is the value of g(6) + g'(6)?
Choose 1 answer:
A. -17
B. -18
C. -19
D. -20

Question

The local linear approximation to the function g at x = 6 is y = -3x + 4. What is the value of g(6) + g'(6)? Choose 1 answer: A. -17 B. -18 C. -19 D. -20

SnapAndSolve AI · Accepted Answer

The local linear approximation at x = 6 is given by y = -3x + 4.

g(6): Substitute x = 6 into the equation: y = -3(6) + 4 = -18 + 4 = -14.
g'(6): The derivative of y = -3x + 4 is -3, which is the slope of the tangent line and represents g'(6).
g(6) + g'(6): -14 + (-3) = -17.

Answer: A. -17

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The local linear approximation to the function g at x = 6 is y = -3x + 4. What is the value of g(6) + g'(6)?

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