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Use the following function rule to find f(144)f(144).\newlinef(x)=6xf(x) = 6\sqrt{x}\newlinef(144)=f(144) = _____

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Full solution

Q. Use the following function rule to find f(144)f(144).\newlinef(x)=6xf(x) = 6\sqrt{x}\newlinef(144)=f(144) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=6xf(x) = 6\sqrt{x} and we need to find the value of f(144)f(144).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(144)f(144), we substitute 144144 for xx in the function f(x)f(x).\newlinef(144)=6144f(144) = 6\sqrt{144}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 144144 is 1212, since 12×12=14412 \times 12 = 144.\newline144=12\sqrt{144} = 12
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineNow we multiply the square root we found by the coefficient 66.\newlinef(144)=6×12f(144) = 6 \times 12
  5. Perform Final Multiplication: Perform the multiplication to find the final answer. f(144)=6×12=72f(144) = 6 \times 12 = 72

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