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Use the following function rule to find f(144)f(144).\newlinef(x)=5x+7f(x) = 5\sqrt{x} + 7\newlinef(144)=f(144) = _____

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Full solution

Q. Use the following function rule to find f(144)f(144).\newlinef(x)=5x+7f(x) = 5\sqrt{x} + 7\newlinef(144)=f(144) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineThe function given is f(x)=5x+7f(x) = 5\sqrt{x} + 7, and we need to find the value of f(144)f(144).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(144)f(144), we substitute 144144 for xx in the function:\newlinef(144)=5144+7f(144) = 5\sqrt{144} + 7
  3. Calculate Square Root: Calculate the square root of 144144.\newlineThe square root of 144144 is 1212, since 12×12=14412 \times 12 = 144.
  4. Multiply and Add: Multiply the square root by 55 and add 77. Now we multiply 55 by the square root of 144144 we found in the previous step: f(144)=5×12+7f(144) = 5 \times 12 + 7
  5. Perform Arithmetic Operations: Perform the arithmetic operations.\newlinef(144)=60+7f(144) = 60 + 7\newlinef(144)=67f(144) = 67

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