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Find the value f(-5) if f(x) = x^2 - 4x + 1.

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Final answer:

To find f(-5) for the function f(x) = x^2 - 4x + 1, you substitute -5 into the equation and calculate, resulting in f(-5) = 46.

Step-by-step explanation:

To find the value of f(-5) given the function f(x) = x^2 - 4x + 1, we simply substitute x with -5 in the equation:

f(-5) = (-5)^2 - 4(-5) + 1

Compute each term:

  • (-5)^2 = 25
  • -4(-5) = 20
  • 1 is a constant

Now, add them up:

f(-5) = 25 + 20 + 1 = 46

Therefore, f(-5) = 46.

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