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Use the following function rule to find f(20)f(20).\newlinef(x)=105+xf(x) = 10\sqrt{5 + x}\newlinef(20)=f(20) = _____

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Full solution

Q. Use the following function rule to find f(20)f(20).\newlinef(x)=105+xf(x) = 10\sqrt{5 + x}\newlinef(20)=f(20) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=105+xf(x) = 10\sqrt{5 + x} and we need to find f(20)f(20).
  2. Substitute Input into Function: Substitute the input value into the function. f(20)=10(5+20)f(20) = 10\sqrt{(5 + 20)}
  3. Simplify Inside Square Root: Simplify the expression inside the square root. f(20)=1025f(20) = 10\sqrt{25}
  4. Calculate Square Root: Calculate the square root of 2525.\newlinef(20)=1025=10×5f(20) = 10\sqrt{25} = 10 \times 5
  5. Multiply by 1010: Multiply the result by 1010. f(20)=10×5=50f(20) = 10 \times 5 = 50

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