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Use the following function rule to find f(113)f(113).\newlinef(x)=5x−64f(x) = 5\sqrt{x - 64}\newlinef(113)=f(113) = _____

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Full solution

Q. Use the following function rule to find f(113)f(113).\newlinef(x)=5x−64f(x) = 5\sqrt{x - 64}\newlinef(113)=f(113) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=5x−64f(x) = 5\sqrt{x - 64} and we need to find the value of f(113)f(113).
  2. Substitute Input into Function: Substitute the input value into the function. f(113)=5113−64f(113) = 5\sqrt{113 − 64}
  3. Perform Subtraction in Square Root: Perform the subtraction inside the square root.\newlinef(113)=549f(113) = 5\sqrt{49}
  4. Calculate Square Root: Calculate the square root of 4949.49=7\sqrt{49} = 7
  5. Multiply Result by 55: Multiply the result by 55.\newlinef113113 = 5×75 \times 7\newlinef113113 = 3535

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