Question

What is f(2) if the linearization of f(x) at a = 2 is l(x) = 12x + 4?

Answer 1

The linearization at f(a) is
.. l(x) ≈ f(a) +f'(a)*(x -a)
Then
.. l(a) = f(a)

f(2) = l(2) = 12*2 +4
f(2) = 28