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Use the following function rule to find f(46)f(46).\newlinef(x)=10x−10f(x) = 10\sqrt{x - 10}\newlinef(46)=f(46) = _____

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Full solution

Q. Use the following function rule to find f(46)f(46).\newlinef(x)=10x−10f(x) = 10\sqrt{x - 10}\newlinef(46)=f(46) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=10x−10f(x) = 10\sqrt{x - 10} and we need to find the value of f(46)f(46).
  2. Substitute Input into Function: Substitute the input value into the function. f(46)=10(46−10)f(46) = 10\sqrt{(46 - 10)}
  3. Perform Subtraction in Square Root: Perform the subtraction inside the square root.\newlinef(46)=1036f(46) = 10\sqrt{36}
  4. Calculate Square Root: Calculate the square root of 3636.36=6\sqrt{36} = 6
  5. Multiply by 1010: Multiply the result by 1010. \newlinef(46)=10×6f(46) = 10 \times 6
  6. Perform Final Multiplication: Perform the multiplication to find the final answer.\newlinef(46)=60f(46) = 60

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