What is the domain of f(x)=3-log_{10}(1+x^2) ?

The domain of f(x)=3-log_{10}(1+x^2) is -infinity <x<infinity

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domain of f(x)=3-log_{10}(1+x^2)

domain

- \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

What is the domain of f(x)=3-log_{10}(1+x^2) ?
The domain of f(x)=3-log_{10}(1+x^2) is -infinity <x<infinity