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Use the following function rule to find f(121)f(121).\newlinef(x)=6x−11f(x) = 6\sqrt{x} - 11\newlinef(121)=f(121) = _____

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Full solution

Q. Use the following function rule to find f(121)f(121).\newlinef(x)=6x−11f(x) = 6\sqrt{x} - 11\newlinef(121)=f(121) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=6x−11f(x) = 6\sqrt{x} - 11 and we need to find the value of f(121)f(121).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(121)f(121), we substitute 121121 for xx in the function:\newlinef(121)=6121−11f(121) = 6\sqrt{121} - 11
  3. Calculate Square Root: Calculate the square root of 121121. The square root of 121121 is 1111, since 11×11=12111 \times 11 = 121.
  4. Multiply and Subtract: Multiply the square root by 66 and subtract 1111. Now we use the value from Step 33 in the function: f(121)=6×11−11f(121) = 6 \times 11 - 11
  5. Perform Arithmetic Operations: Perform the arithmetic operations. f(121)=66−11f(121) = 66 - 11 f(121)=55f(121) = 55

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