Question

Determine the appropriate f(x) and a, and evaluate L(x) = f(a) + f(a)(x - a).

A. f(x) = 0.94, a = 0.98
B. f(x) = 0.98, a = 0.94
C. f(x) = 0.94, a = 0.94
D. f(x) = 0.98, a = 0.98

Answer 1

The appropriate values for f(x) and a are given as options in the question. Option D (f(x) = 0.98, a = 0.98) is the correct choice. The evaluated L(x) is 0.98x - 0.9804.

Step-by-step explanation:

The appropriate values for f(x) and a are given as options in the question. We need to evaluate L(x) = f(a) + f(a)(x - a). Based on the options, the correct choice is f(x) = 0.98 and a = 0.98 (option D).

Substituting the values into the equation, we get:

L(x) = f(a) + f(a)(x - a) = 0.98 + 0.98(x - 0.98) = 0.98 + 0.98x - 0.9604 = 0.98x - 0.9804

So, the appropriate f(x) and a are f(x) = 0.98 and a = 0.98 respectively, and the evaluated L(x) is 0.98x - 0.9804.