Final answer:
The value of f(-3) is calculated by substituting -3 into the function f(x) = 3x² - 4 + 4, squaring the -3, multiplying by 3, and then adding and subtracting 4. The result is f(-3) = 27.
Step-by-step explanation:
You are looking to find the value of f(-3) when given the function f(x) = 3x² - 4 + 4. To do this, simply substitute x with -3:
f(-3) = 3(-3)² - 4 + 4
Firstly, calculate the innermost part which is the exponent:
(-3)² = 9
Next, use this result to continue with the function:
f(-3) = 3· 9 - 4 + 4
f(-3) = 27 - 4 + 4
Now, subtract and add the constants:
f(-3) = 27
The value of f(-3) is 27, which is already to the nearest thousandth as required.