Question

Evaluate f(x)+f(2) for f(x)=−5x−5−8x−4.
a) -34
b) -42
c) -18
d) -26

Answer 1

To evaluate f(x) + f(2) for the given function, f(2) is first calculated as -16. Adding this to f(x) gives a simplified expression -13x - 26. Thus, the correct answer is -26.

Step-by-step explanation:

To evaluate the expression f(x) + f(2) for the function f(x) = −5x−5 − 8x−4, we need to perform two steps. First, we substitute x with 2 to find f(2), then we add this result to f(x).

Let's calculate f(2):

• f(2) = −5(2)−5 − 8(2)−4
• f(2) = −10 + 5 − 16 + 4
• f(2) = −16

Since f(x) remains the same in the expression f(x) + f(2), we simply combine the two results:

• f(x) + f(2) = (−5x−5 − 8x−4) + (−16)
• f(x) + f(2) = −5x − 5x + 5 − 8x + 4x − 16
• f(x) + f(2) = −13x − 26

Therefore, the result is −26, which corresponds to answer choice (d).