What is the domain of f(x)=log_{10}(x^2+11) ?

The domain of f(x)=log_{10}(x^2+11) is -infinity <x<infinity

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domain of f(x)=log_{10}(x^2+11)

domain

f (x) = lo g_{10} (x^{2} + 11)

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

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

- \infty < x < \infty

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

f (x) = \frac{x ^{2} - 25}{2 x ^{2} + 9 x - 5}

\frac{x ^{2} + 1}{x ^{2} + 2}

f (x) = \frac{9}{x ^{2} - 9}

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

What is the domain of f(x)=log_{10}(x^2+11) ?
The domain of f(x)=log_{10}(x^2+11) is -infinity <x<infinity