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Use the following function rule to find f(16)f(16).\newlinef(x)=8+2xf(x) = 8 + 2\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)=8+2xf(x) = 8 + 2\sqrt{x}\newlinef(16)=f(16) = _____
  1. Identify Function & Input: Identify the function and the input value.\newlineWe are given the function f(x)=8+2xf(x) = 8 + 2\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:\newlinef(16)=8+216f(16) = 8 + 2\sqrt{16}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 1616 is 44, so we have:\newlinef(16)=8+2×4f(16) = 8 + 2 \times 4
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newlineNow we multiply 22 by 44:\newlinef(16)=8+2×4=8+8f(16) = 8 + 2 \times 4 = 8 + 8
  5. Add Constant Term: Add the constant term to the product.\newlineFinally, we add 88 to 88 to get the value of f(16)f(16):\newlinef(16)=8+8=16f(16) = 8 + 8 = 16

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