Final answer:
To find f(-9) for the function f(x) = 4 - 3x², we substitute -9 for x, square it to get 81, multiply by 3 to get 243, and subtract from 4, resulting in f(-9) = -239.
Step-by-step explanation:
To evaluate the function f(x) = 4 - 3x² at x = -9, we substitute -9 for x in the function:
f(-9) = 4 - 3(-9)²
Since (-9)² is 81, the function then becomes:
f(-9) = 4 - 3(81)
Multiplying 3 by 81 gives us 243, so:
f(-9) = 4 - 243
Subtracting 243 from 4, we find:
f(-9) = -239
Therefore, the value of the function f(x) when x is -9 is -239.