What is the domain of f(x)=sqrt((x+3)^2) ?

The domain of f(x)=sqrt((x+3)^2) is -infinity <x<infinity

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domain of f(x)=sqrt((x+3)^2)

domain

f (x) = (x + 3)^{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{1}{x ^{2} - 4 x + 3}

f (x) = \frac{2 - x}{3 x ^{3} + 4 x ^{2}}

f (x) = \frac{x ^{5} + 1}{( x ^{2} - 1 ) ^{2}}

f (x) = lo g_{10} (6 x - 1)

f (x) = 7 x - 21 + \frac{x}{x - 8}

What is the domain of f(x)=sqrt((x+3)^2) ?
The domain of f(x)=sqrt((x+3)^2) is -infinity <x<infinity