Final answer:
To evaluate the function f(x) = -(2x + 1) / 3 for x = -5, substitute x with -5, giving f(-5) = -(-9) / 3, which simplifies to 3.
Step-by-step explanation:
The student is asking how to evaluate the function f(x) = -(2x + 1) / 3 when x = -5. To find this value, we need to substitute x with -5 and simplify accordingly.
f(-5) = -((2 * -5) + 1) / 3
Let's do the computation step by step:
- First, calculate the multiplier of x: 2 * -5 = -10.
- Next, add 1 to the result: -10 + 1 = -9.
- Then, divide by 3: -9 / 3 = -3.
- Finally, apply the negative sign: -(-3) = 3.
Therefore, the output of the function when x = -5 is 3.