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Use the following function rule to find f(13)f(13).\newlinef(x)=83+xf(x) = 8\sqrt{3 + x}\newlinef(13)=f(13) = _____

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Full solution

Q. Use the following function rule to find f(13)f(13).\newlinef(x)=83+xf(x) = 8\sqrt{3 + x}\newlinef(13)=f(13) = _____
  1. Identify Function & Input: Identify the function and the input value.\newlineWe are given the function f(x)=83+xf(x) = 8\sqrt{3 + x} and we need to find f(13)f(13).
  2. Substitute Input: Substitute the input value into the function.\newlineTo find f(13)f(13), we replace xx with 1313 in the function f(x)f(x).\newlinef(13)=83+13f(13) = 8\sqrt{3 + 13}
  3. Simplify Expression: Simplify the expression inside the square root.\newlineCalculate the value inside the square root before applying the square root function.\newline3+13=163 + 13 = 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 by Coefficient: Multiply the result by the coefficient outside the square root. Multiply the square root result by 88. f(13)=8×4f(13) = 8 \times 4
  6. Calculate Final Result: Calculate the final result.\newlineComplete the multiplication to find the value of f(13)f(13).\newlinef(13)=32f(13) = 32

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