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Use the following function rule to find f(22)f(22).\newlinef(x)=1158−xf(x) = 11\sqrt{58 - x}\newlinef(22)=f(22) = _____

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Full solution

Q. Use the following function rule to find f(22)f(22).\newlinef(x)=1158−xf(x) = 11\sqrt{58 - x}\newlinef(22)=f(22) = _____
  1. Identify Function & Input: Identify the function and the input value.\newlineWe are given the function f(x)=11(58−x)f(x) = 11\sqrt{(58 - x)} and we need to find the value of f(22)f(22).
  2. Substitute Input: Substitute the input value into the function.\newlineTo find f(22)f(22), we replace xx with 2222 in the function:\newlinef(22)=11(58−22)f(22) = 11\sqrt{(58 - 22)}
  3. Perform Subtraction: Perform the subtraction inside the square root.\newlineCalculate the value inside the square root: 58−22=3658 - 22 = 36
  4. Calculate Square Root: Calculate the square root.\newlineSince the value inside the square root is a perfect square, we find the square root of 3636:\newline36=6\sqrt{36} = 6
  5. Multiply by Coefficient: Multiply the result by the coefficient.\newlineNow, multiply the square root by the coefficient 1111:\newlinef(22)=11×6f(22) = 11 \times 6
  6. Perform Final Multiplication: Perform the multiplication to find the final answer.\newlineCalculate the final result:\newlinef(22)=66f(22) = 66

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