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Use the following function rule to find f(144)f(144).\newlinef(x)=1+5xf(x) = 1 + 5\sqrt{x}\newlinef(144)=f(144) = _____

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Full solution

Q. Use the following function rule to find f(144)f(144).\newlinef(x)=1+5xf(x) = 1 + 5\sqrt{x}\newlinef(144)=f(144) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=1+5xf(x) = 1 + 5\sqrt{x} 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)=1+5144f(144) = 1 + 5\sqrt{144}
  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. Continue Calculation: Continue the calculation with the square root result.\newlineNow that we know 144=12\sqrt{144} = 12, we can continue the calculation:\newlinef(144)=1+5×12f(144) = 1 + 5 \times 12
  5. Multiply and Calculate: Multiply 55 by 1212. 55 times 1212 is 6060. f(144)=1+60f(144) = 1 + 60
  6. Add to Get Final Result: Add 11 to 6060.\newlineAdding 11 to 6060 gives us 6161.\newlinef(144144) = 6161

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