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Use the following function rule to find f(11)f(11).\newlinef(x)=125+xf(x) = 12\sqrt{5 + x}\newlinef(11)=f(11) = _____

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Q. Use the following function rule to find f(11)f(11).\newlinef(x)=125+xf(x) = 12\sqrt{5 + x}\newlinef(11)=f(11) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=125+xf(x) = 12\sqrt{5 + x} and we need to find the value of f(11)f(11).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(11)f(11), we replace xx with 1111 in the function rule.\newlinef(11)=12(5+11)f(11) = 12\sqrt{(5 + 11)}
  3. Simplify Expression Inside Square Root: Simplify the expression inside the square root. Calculate the value inside the square root before applying the square root function. 5+11=165 + 11 = 16
  4. Apply Square Root: Apply the square root to the simplified expression.\newlineNow take the square root of 1616.\newline16=4\sqrt{16} = 4
  5. Multiply to Find f(11)f(11): Multiply the result by 1212 to find f(11)f(11).\newlineNow multiply the square root result by 1212 to get the final answer.\newlinef(11)=12×4f(11) = 12 \times 4\newlinef(11)=48f(11) = 48

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