Final answer:
To find f(6), we substitute 6 into the function f(x) = -2/(x - 3), which yields f(6) = -2/3.
Step-by-step explanation:
The question asks to find the value of the function f(x) at x = 6. Based on the definition of the function f(x) = { 2 for x = 5, -2/(x - 3) for x ≠ 5 }, we need to use the second part of the function because we are looking for f(6), not f(5).
To find f(6), we substitute x with 6 into the second part of the function and perform the calculation:
f(6) = -2/(6 - 3)
f(6) = -2/(3)
f(6) = -2/3
Therefore, the value of f(x) when x = 6 is -2/3.
To find f(6), we need to substitute x = 6 into the given function f(x). Since 6 ≠ 5, we can use the second part of the function definition: f(6) = -2/(6 - 3).
Simplifying further, we have f(6) = -2/3.
Therefore, f(6) = -2/3.