Question

For the function 'f(x) = (3x - 4)^2', what is 'f(-2)'?

a) 25
b) 36
c) 16
d) 9

Answer 1

The function f(x) for f(-2) is calculated by substituting -2 for x in the equation (3x - 4)^2. Upon doing the calculation, we find that f(-2) equals 100, which is not one of the provided options.

Step-by-step explanation:

To find the value of f(-2) for the function f(x) = (3x - 4)^2, we simply need to follow these steps:

1. Substitute x with -2 in the function: f(-2) = (3(-2) - 4)^2.
2. Multiply 3 by -2: f(-2) = (-6 - 4)^2.
3. Add -6 and -4 together: f(-2) = (-10)^2.
4. Square the result of -10: f(-2) = 100.

Thus, neither of the options provided (25, 36, 16, or 9) is correct. The value of f(-2) is 100.

It's important to always carefully solve the mathematical problem completely before selecting an answer option. In this case, when we mention the correct option answer in the final answer, we see that the correct answer (100) is not listed among the options the student provided.