Final answer:
To find f(u+7) when f(t) = t - 5, simply substitute (u+7) into the function, yielding f(u+7) = u + 2 after simplification.
Step-by-step explanation:
The task is to find the function value of f(u+7) given that f(t) = t - 5. To do this, we substitute (u+7) into the function in place of t, which gives us f(u+7) = (u+7) - 5. Simplifying the expression by combining like terms, we get f(u+7) = u + 2.
To address a separate part of the provided information, if we were to use the quadratic formula to solve for t, given an equation t² + 10t - 2000, we would first ensure the equation is set to zero: t² + 10t - 2000 = 0. Then, using the quadratic formula t = ∛(-b ± √(b² - 4ac)) / (2a), we would find the values of t. However, this task is unrelated to finding f(u+7).