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Use the following function rule to find f(26)f(26).\newlinef(x)=475xf(x) = 4\sqrt{75 - x}\newlinef(26)=f(26) = _____

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Q. Use the following function rule to find f(26)f(26).\newlinef(x)=475xf(x) = 4\sqrt{75 - x}\newlinef(26)=f(26) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=475xf(x) = 4\sqrt{75 - x} and we need to find the value of f(26)f(26).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(26)f(26), we replace xx with 2626 in the function:\newlinef(26)=47526f(26) = 4\sqrt{75 - 26}
  3. Perform Subtraction: Perform the subtraction inside the square root.\newlineCalculate the value inside the square root: 7526=4975 - 26 = 49
  4. Apply Square Root: Apply the square root to the result.\newlineNow take the square root of 4949:\newline49=7\sqrt{49} = 7
  5. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineFinally, multiply the square root by 44 to find f(26)f(26):\newlinef(26)=4×7f(26) = 4 \times 7
  6. Complete Multiplication: Complete the multiplication to get the final answer. f(26)=28f(26) = 28

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