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Use the following function rule to find f(4)f(4).\newlinef(x)=4x+6f(x) = 4\sqrt{x} + 6\newlinef(4)=f(4) = _____

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Full solution

Q. Use the following function rule to find f(4)f(4).\newlinef(x)=4x+6f(x) = 4\sqrt{x} + 6\newlinef(4)=f(4) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=4x+6f(x) = 4\sqrt{x} + 6 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 replace xx with 44 in the function rule.\newlinef(4)=44+6f(4) = 4\sqrt{4} + 6
  3. Calculate Square Root: Calculate the square root of the input value. 4\sqrt{4} is equal to 22, since 2×2=42 \times 2 = 4. f(4)=4×2+6f(4) = 4 \times 2 + 6
  4. Multiply by Coefficient: Multiply the result of the square root by the coefficient. 4×24 \times 2 equals 88. f(4)=8+6f(4) = 8 + 6
  5. Add Constant Term: Add the constant term to the result of the multiplication.\newline8+6=148 + 6 = 14.\newlinef(4)=14f(4) = 14

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