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Use the following function rule to find f(144)f(144).\newlinef(x)=2x+1f(x) = 2\sqrt{x} + 1\newlinef(144)=f(144) = _____

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Full solution

Q. Use the following function rule to find f(144)f(144).\newlinef(x)=2x+1f(x) = 2\sqrt{x} + 1\newlinef(144)=f(144) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=2x+1f(x) = 2\sqrt{x} + 1 and we need to find the value of f(144)f(144).
  2. Substitute Input into Function: Substitute the input value into the function.\newlinef(144)=2144+1f(144) = 2\sqrt{144} + 1
  3. Calculate Square Root: Calculate the square root of the input value. 144=12\sqrt{144} = 12
  4. Multiply by 22 and Add 11: Multiply the square root by 22 and then add 11.\newlinef(144)=2×12+1f(144) = 2 \times 12 + 1
  5. Perform Multiplication: Perform the multiplication.\newline2×12=242 \times 12 = 24
  6. Add 11 to Result: Add 11 to the result of the multiplication.\newlinef(144)=24+1f(144) = 24 + 1
  7. Calculate Final Result: Calculate the final result. f(144)=25f(144) = 25

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