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Use the following function rule to find f(100)f(100).\newlinef(x)=3x−8f(x) = 3\sqrt{x} - 8\newlinef(100)=f(100) = _____

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Full solution

Q. Use the following function rule to find f(100)f(100).\newlinef(x)=3x−8f(x) = 3\sqrt{x} - 8\newlinef(100)=f(100) = _____
  1. Identify Function & Input: Identify the function and the input value.\newlineWe are given the function f(x)=3x−8f(x) = 3\sqrt{x} - 8 and we need to find the value of f(100)f(100).
  2. Substitute Input into Function: Substitute the input value into the function. f(100)=3100−8f(100) = 3\sqrt{100} - 8
  3. Calculate Square Root: Calculate the square root of the input value. 100=10\sqrt{100} = 10
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newline3×10=303 \times 10 = 30
  5. Subtract & Simplify: Subtract 88 from the result of the multiplication.\newlinef(100)=30−8f(100) = 30 - 8
  6. Subtract & Simplify: Subtract 88 from the result of the multiplication.\newlinef(100)=30−8f(100) = 30 - 8 Simplify the expression to find the final answer.\newlinef(100)=22f(100) = 22

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