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Use the following function rule to find f(144)f(144).\newlinef(x)=8x+3f(x) = 8\sqrt{x} + 3\newlinef(144)=f(144) = _____

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Full solution

Q. Use the following function rule to find f(144)f(144).\newlinef(x)=8x+3f(x) = 8\sqrt{x} + 3\newlinef(144)=f(144) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=8x+3f(x) = 8\sqrt{x} + 3 and we need to find the value of f(144)f(144).
  2. Substitute Input into Function: Substitute the input value into the function.\newlinef(144)=8144+3f(144) = 8\sqrt{144} + 3
  3. Calculate Square Root: Calculate the square root of 144144. 144=12\sqrt{144} = 12
  4. Multiply and Add: Multiply the square root by 88 and add 33. \newlinef(144)=8×12+3f(144) = 8 \times 12 + 3
  5. Perform Multiplication: Perform the multiplication. 8×12=968 \times 12 = 96
  6. Add to Result: Add 33 to the result of the multiplication.\newlinef(144)=96+3f(144) = 96 + 3
  7. Calculate Final Result: Calculate the final result. f(144)=99f(144) = 99

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