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Use the following function rule to find f(36)f(36).\newlinef(x)=9xf(x) = 9\sqrt{x}\newlinef(36)=f(36) = _____

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Full solution

Q. Use the following function rule to find f(36)f(36).\newlinef(x)=9xf(x) = 9\sqrt{x}\newlinef(36)=f(36) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=9xf(x) = 9\sqrt{x} and we need to find the value of f(36)f(36).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(36)f(36), we substitute 3636 in place of xx in the function rule.\newlinef(36)=936f(36) = 9\sqrt{36}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 3636 is 66, since 6×6=366 \times 6 = 36.\newline36=6\sqrt{36} = 6
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineNow, we multiply the square root we found by the coefficient 99.\newlinef(36)=9×6f(36) = 9 \times 6
  5. Perform Final Multiplication: Perform the multiplication to find the final answer. f(36)=54f(36) = 54

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