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Use the following function rule to find f(6)f(6).\newlinef(x)=6x+10f(x) = 6\sqrt{x + 10}\newlinef(6)=f(6) = _____

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Q. Use the following function rule to find f(6)f(6).\newlinef(x)=6x+10f(x) = 6\sqrt{x + 10}\newlinef(6)=f(6) = _____
  1. Identify function rule and input: Identify the function rule and the input value.\newlineWe are given the function rule f(x)=6x+10f(x) = 6\sqrt{x + 10} and we need to find the value of f(6)f(6).
  2. Substitute input into rule: Substitute the input value into the function rule.\newlineTo find f(6)f(6), we substitute xx with 66 in the function rule:\newlinef(6)=66+10f(6) = 6\sqrt{6 + 10}
  3. Simplify expression inside square root: Simplify the expression inside the square root. Calculate the value inside the square root: 6+10=166 + 10 = 16
  4. Apply square root: Apply the square root to the simplified value.\newlineNow take the square root of 1616:\newline16=4\sqrt{16} = 4
  5. Multiply to find f(6)f(6): Multiply the result by 66 to find f(6)f(6). Finally, multiply the square root result by 66: f(6)=6×4f(6) = 6 \times 4 f(6)=24f(6) = 24

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