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Use the following function rule to find f(123)f(123).\newlinef(x)=6172−xf(x) = 6\sqrt{172 - x}\newlinef(123)=f(123) = _____

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Full solution

Q. Use the following function rule to find f(123)f(123).\newlinef(x)=6172−xf(x) = 6\sqrt{172 - x}\newlinef(123)=f(123) = _____
  1. Identify Function Rule: Identify the function rule and the input value.\newlineWe are given the function rule f(x)=6172−xf(x) = 6\sqrt{172 - x} and we need to find the value of f(123)f(123).
  2. Substitute Input Value: Substitute the input value into the function.\newlineTo find f(123)f(123), we substitute xx with 123123 in the function rule:\newlinef(123)=6172−123f(123) = 6\sqrt{172 - 123}
  3. Perform Subtraction: Perform the subtraction inside the square root.\newlineCalculate the value inside the square root:\newline172−123=49172 - 123 = 49
  4. Calculate Square Root: Calculate the square root.\newlineFind the square root of 4949:\newline49=7\sqrt{49} = 7
  5. Multiply by 66: Multiply the result by 66. Now, multiply the square root by 66 to find f(123)f(123): f(123)=6×7f(123) = 6 \times 7
  6. Complete Calculation: Complete the calculation.\newlinePerform the multiplication to get the final result:\newlinef(123)=42f(123) = 42

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