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Use the following function rule to find f(3)f(3).\newlinef(x)=1067xf(x) = 10\sqrt{67 - x}\newlinef(3)=f(3) = _____

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Q. Use the following function rule to find f(3)f(3).\newlinef(x)=1067xf(x) = 10\sqrt{67 - x}\newlinef(3)=f(3) = _____
  1. Identify Function & Input: Identify the function and the input value.\newlineWe are given the function f(x)=1067xf(x) = 10\sqrt{67 - x} and we need to find the value of f(3)f(3).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(3)f(3), we replace xx with 33 in the function:\newlinef(3)=10(673)f(3) = 10\sqrt{(67 - 3)}
  3. Perform Subtraction: Perform the subtraction inside the square root.\newlineCalculate the value inside the square root:\newline673=6467 − 3 = 64
  4. Calculate Square Root: Calculate the square root.\newlineSince 6464 is a perfect square, 64=8\sqrt{64} = 8.
  5. Multiply by 1010: Multiply the result by 1010. Now, multiply the square root by 1010 to find f(3)f(3): f(3)=10×8f(3) = 10 \times 8
  6. Complete Calculation: Complete the calculation. f(3)=80f(3) = 80

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