What is the domain of f(x)=sqrt((x-1)^2) ?

The domain of f(x)=sqrt((x-1)^2) is -infinity <x<infinity

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domain of f(x)=sqrt((x-1)^2)

domain

f (x) = (x - 1)^{2}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{- 3}{x ^{2} + 7}

f (x) = \frac{2}{5 + x}

(- 3, - 2), (4, 1)

f (x) = - x^{2} - 6 x - 10

(- 2, - 6), (- 5, - 2)

What is the domain of f(x)=sqrt((x-1)^2) ?
The domain of f(x)=sqrt((x-1)^2) is -infinity <x<infinity