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Use the following function rule to find f(16)f(16).\newlinef(x)=4xf(x) = 4\sqrt{x}\newlinef(16)=f(16) = _____

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Full solution

Q. Use the following function rule to find f(16)f(16).\newlinef(x)=4xf(x) = 4\sqrt{x}\newlinef(16)=f(16) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=4xf(x) = 4\sqrt{x} and we need to find the value of f(16)f(16).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(16)f(16), we substitute xx with 1616 in the function f(x)=4xf(x) = 4\sqrt{x}.\newlinef(16)=416f(16) = 4\sqrt{16}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 1616 is 44, since 4×4=164 \times 4 = 16.\newline16=4\sqrt{16} = 4
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineNow we multiply the square root we found by the coefficient 44.\newlinef(16)=4×4f(16) = 4 \times 4
  5. Simplify Final Answer: Simplify the expression to find the final answer. f(16)=16f(16) = 16

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