Question

For the function f(x) = (4 - x)^2 / 3, evaluate f(16).

a) 2^2 / 3
b) 3 / (4^2 - 16)
c) 3 / (4 - 16)^2
d) 3 / (4^2 - 16^2)

Answer 1

After evaluating the expression f(16) for the function f(x) = (4 - x)^2 / 3, the result is determined to be 48, which does not match any of the provided options, indicating a possible error in the question.

Step-by-step explanation:

To evaluate f(16) for the function f(x) = (4 - x)^2 / 3, simply replace x with 16: f(16) = (4 - 16)^2 / 3

First, calculate the expression inside the parentheses: 4 - 16 = -12. Now, square the result: (-12)^2 = 144. Finally, divide by 3: 144 / 3 = 48

So, the value of f(16) is 48, which does not match any of the provided options a) 2^2 / 3, b) 3 / (4^2 - 16), c) 3 / (4 - 16)^2, or d) 3 / (4^2 - 16^2). There seems to be a mistake in the question as the provided options do not correctly reflect the calculation.