Final answer:
To evaluate f(x) + f(2) for the given function f(x) = −5x − 5 − 8x − 4, we first simplify f(x) to −13x − 13, then compute f(2) as −39. Finally, we add −39 to −13x − 13 to get −13x − 52.
Step-by-step explanation:
The student is asking to evaluate the function f(x) = −5x−5 − 8x−4 and then find the sum of this function evaluated at x and also evaluated at x = 2.
Firstly, we need to simplify the function and then substitute x with 2 to find f(2). The typo in the function can be interpreted as a minus sign so the function becomes f(x) = −5(x+1) − 8(x+1). Simplifying this, we get f(x) = −5x − 5 − 8x − 8, which further simplifies to f(x) = −13x − 13.
Then we evaluate f(2) = −13(2) − 13 = −26 − 13 = −39. Finally, we find the value of f(x) + f(2) = −13x − 13 + (−39), which simplifies to −13x − 13 − 39 or −13x − 52.