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Use the following function rule to find f(4)f(4).\newlinef(x)=11+xf(x) = 11 + \sqrt{x}\newlinef(4)=f(4) = _____

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Full solution

Q. Use the following function rule to find f(4)f(4).\newlinef(x)=11+xf(x) = 11 + \sqrt{x}\newlinef(4)=f(4) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=11+xf(x) = 11 + \sqrt{x} and we need to find the value of f(4)f(4).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(4)f(4), we substitute xx with 44 in the function f(x)f(x).\newlinef(4)=11+4f(4) = 11 + \sqrt{4}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 44 is 22.\newline4=2\sqrt{4} = 2
  4. Add to Constant Term: Add the square root to the constant term in the function.\newlineNow we add the square root we calculated to the constant term 1111.\newlinef(4)=11+2f(4) = 11 + 2
  5. Simplify to Find Final Value: Simplify the expression to find the final value. Adding the numbers together gives us the final value of f(4)f(4). f(4)=13f(4) = 13

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