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Use the following function rule to find f(33)f(33).\newlinef(x)=582xf(x) = 5\sqrt{82 - x}\newlinef(33)=f(33) = _____

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Q. Use the following function rule to find f(33)f(33).\newlinef(x)=582xf(x) = 5\sqrt{82 - x}\newlinef(33)=f(33) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=582xf(x) = 5\sqrt{82 - x} and we need to find the value of f(33)f(33).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(33)f(33), we substitute xx with 3333 in the function:\newlinef(33)=58233f(33) = 5\sqrt{82 - 33}
  3. Perform Subtraction in Square Root: Perform the subtraction inside the square root.\newlineCalculate the value inside the square root:\newline8233=4982 - 33 = 49
  4. Calculate Square Root: Calculate the square root.\newlineThe square root of 4949 is 77, since 7×7=497 \times 7 = 49.\newline49=7\sqrt{49} = 7
  5. Multiply by 55: Multiply the square root by 55 to find f(33)f(33).\newlineNow, multiply the result by 55:\newlinef(33)=5×7f(33) = 5 \times 7\newlinef(33)=35f(33) = 35

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