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f(x)=sqrt(x-1)
The function 
f is defined. What is the value of 
f(10) ?

f(x)=x1 f(x)=\sqrt{x-1} \newlineThe function f f is defined. What is the value of f(10) f(10) ?

Full solution

Q. f(x)=x1 f(x)=\sqrt{x-1} \newlineThe function f f is defined. What is the value of f(10) f(10) ?
  1. Identify function and input: Identify the function and the input value.\newlineWe are given the function f(x)=x1f(x) = \sqrt{x-1} and we need to find the value of f(10)f(10).
  2. Substitute input into function: Substitute the input value into the function.\newlineTo find f(10)f(10), we substitute xx with 1010 in the function: f(10)=101f(10) = \sqrt{10-1}.
  3. Simplify expression inside square root: Simplify the expression inside the square root.\newlineCalculate the value inside the square root: 101=910 - 1 = 9.
  4. Calculate square root: Calculate the square root.\newlineNow we find the square root of 99, which is 33.
  5. Conclude final value of function: Conclude with the final value of the function for the given input.\newlineTherefore, f(10)=9=3f(10) = \sqrt{9} = 3.

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