Question

Solve for f(x)=-4x²-3 and evaluate for f(8).

a) f(x) = 29
b) f(x) = -29
c) f(x) = -37
d) f(x) = 37

Answer 1

b) f(x) = -29. After substituting x=8 into the function f(x)=-4x²-3, the value of f(8) is calculated to be -259, which is not listed among the given choices.

Step-by-step explanation:

To solve for f(x) = -4x² - 3 and evaluate for f(8), we can follow two simple steps:

1. Substitute the value of x with 8 in the function.
2. Calculate the function's value with that substitution.

So, substituting x = 8 into the equation:

f(8) = -4(8)² - 3

f(8) = -4(64) - 3

f(8) = -256 - 3

f(8) = -259

Therefore, the correct answer is b) f(x) = -259, though this option is not listed in the given choices, indicating a possible error in the question or answer choices.