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Use the following function rule to find f(64)f(64).\newlinef(x)=10x+10f(x) = 10\sqrt{x} + 10\newlinef(64)=f(64) = _____

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Full solution

Q. Use the following function rule to find f(64)f(64).\newlinef(x)=10x+10f(x) = 10\sqrt{x} + 10\newlinef(64)=f(64) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=10x+10f(x) = 10\sqrt{x} + 10 and we need to find the value of f(64)f(64).
  2. Substitute Input into Function: Substitute the input value into the function.\newlinef(64)=1064+10f(64) = 10\sqrt{64} + 10
  3. Calculate Square Root: Calculate the square root of the input value. 64=8\sqrt{64} = 8
  4. Multiply by Coefficient: Multiply the square root by the coefficient.\newline10×8=8010 \times 8 = 80
  5. Add Constant Term: Add the constant term to the result from Step 44.\newlinef(64)=80+10f(64) = 80 + 10
  6. Simplify Final Answer: Simplify the expression to find the final answer. f(64)=90f(64) = 90

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