Final answer:
To find f(6 - t), substitute 6 - t for x in the given function f(x) = 3 - 5x - 2x^2 and simplify the expression.
Step-by-step explanation:
To find f(6 - t), we substitute 6 - t for x in the given function f(x) = 3 - 5x - 2x^2.
So, f(6 - t) = 3 - 5(6 - t) - 2(6 - t)^2.
Simplifying further, we have f(6 - t) = 3 - 30 + 5t - 2(36 - 12t + t^2).
Finally, f(6 - t) = -27 + 5t - 72 + 24t - 2t^2 or f(6 - t) = -2t^2 + 29t - 99.