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Write the input x and 8. f(x)=-(2x+1)/(3) for x=-5

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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:

  1. First, calculate the multiplier of x: 2 * -5 = -10.
  2. Next, add 1 to the result: -10 + 1 = -9.
  3. Then, divide by 3: -9 / 3 = -3.
  4. Finally, apply the negative sign: -(-3) = 3.

Therefore, the output of the function when x = -5 is 3.

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