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Use the following function rule to find f(4)f(4).\newlinef(x)=10xf(x) = 10\sqrt{x}\newlinef(4)=f(4) = _____

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Full solution

Q. Use the following function rule to find f(4)f(4).\newlinef(x)=10xf(x) = 10\sqrt{x}\newlinef(4)=f(4) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=10xf(x) = 10\sqrt{x} and we need to find the value of f(4)f(4).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(4)f(4), we substitute xx with 44 in the function f(x)=10xf(x) = 10\sqrt{x}.\newlinef(4)=104f(4) = 10\sqrt{4}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 44 is 22.\newline4=2\sqrt{4} = 2
  4. Multiply by Coefficient: Multiply the result by the coefficient.\newlineNow, we multiply the square root we found by the coefficient 1010.\newlinef(4)=10×2f(4) = 10 \times 2
  5. Simplify for Final Answer: Simplify the expression to find the final answer. f(4)=20f(4) = 20

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