Final answer:
The correct value of f(-7) for the function f(x) = -x^2 + 87 is computed by substituting x with -7, resulting in f(-7) = -(-7)^2 + 87 which simplifies to f(-7) = 38.
Step-by-step explanation:
To find f(-7) for the given function f(z) = -x^2 + 87, we first need to correct the function notation. It appears there is a typo in the function definition; let's assume that the function should be in terms of x instead of z, as is standard in algebraic notation. Thus, the corrected function should be f(x) = -x^2 + 87.
Following this correction, we substitute x with -7:
- Replace x with -7 in the function: f(-7) = -(-7)^2 + 87.
- Calculate the square of -7: f(-7) = -49 + 87.
- Perform the arithmetic: f(-7) = 38.
Therefore, f(-7) is 38.