Question

Given f(x)=−x²+20, find f(−3).

Answer 1

To find f(-3) for the function f(x) = −x² + 20, we substitute x with −3, calculate (−3)² which is 9, then we have f(-3) = -9 + 20, resulting in f(-3) = 11.

Step-by-step explanation:

To find f(-3) for the function f(x) = −x² + 20, we need to substitute x with −3. The calculation steps are as follows:

1. Replace every instance of x in the function with −3.
2. Calculate (−3)², which is 9.
3. Apply the negative sign to make it −9, as per the function f(x).
4. Add 20 to −9 to get the final result.

When you do the calculation, it goes like this:

f(−3) = −(−3)² + 20 = −9 + 20 = 11.

So, f(−3) equals 11.