This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Alright Nurse — let's do this. The function is given by f(x) = (x^2 - 25)/(x - 5). Step 1: Factor the numerator. The numerator is a difference of squares, x^2 - 25 = (x - 5)(x + 5). f(x) = ((x - 5)(x + 5))/(x - 5) Step 2: Cancel out the common factor (x - 5) from the numerator and denominator, assuming x ≠ 5. f(x) = x + 5, for x ≠ 5 The function f(x) simplifies to x + 5 for all values of x except x = 5. At x = 5, the original function is undefined. The simplified expression for f(x) is x + 5. f(x) = x + 5, for x ≠ 5 What's next?