# For the function f(x)= l x-5 l find the domain and the range . Write your answer in interval notation.

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Expert Answers

justaguide | Certified Educator

The function f(x)= `lx - 5l` . f(x) is the absolute value of (x - 5).

The domain of the function is the set of real numbers as x - 5 can take any real value and so can x. The absolute value of x - 5 is equal to x - 5 for x - 5 >= 0 and it is equal to -(x - 5) for x - 5 < 0. The value of f(x) is never negative.

**The domain of f(x)= `lx - 5l` is R and the range is [0, inf.)**