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Use the following function rule to find f(5)f(5).\newlinef(x)=1295+xf(x) = 12\sqrt{95 + x}\newlinef(5)=f(5) = _____

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Q. Use the following function rule to find f(5)f(5).\newlinef(x)=1295+xf(x) = 12\sqrt{95 + x}\newlinef(5)=f(5) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=1295+xf(x) = 12\sqrt{95 + x} and we need to find the value of f(5)f(5).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(5)f(5), we substitute xx with 55 in the function: f(5)=1295+5f(5) = 12\sqrt{95 + 5}.
  3. Simplify Expression Inside Square Root: Simplify the expression inside the square root.\newlineCalculate the value inside the square root: 95+5=10095 + 5 = 100.
  4. Calculate Square Root: Calculate the square root.\newlineThe square root of 100100 is 1010.
  5. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineNow, multiply the square root by 1212: f(5)=12×10f(5) = 12 \times 10.
  6. Find Final Value: Find the final value of f(5)f(5). The final calculation is: f(5)=120f(5) = 120.

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