Question

Evaluate the following function f(x)=3x^2−2
for f(−4). show with steps

Answer 1

We substitute x = −4 into f(x):

1. f(x) = 3x^2 − 2
2. f(−4) = 3(−4)^2 − 2
3. (−4)^2 = 16, so f(−4) = 3·16 − 2
4. 3·16 = 48, so f(−4) = 48 − 2
5. 48 − 2 = 46

So f(−4) = 46.