What is the domain of f(x)=(x+3)/(x^2+1) ?

The domain of f(x)=(x+3)/(x^2+1) is -infinity <x<infinity

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domain of f(x)=(x+3)/(x^2+1)

domain

f (x) = \frac{x + 3}{x ^{2} + 1}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

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

- \infty < x < \infty

f (x) = \frac{10 - 10 x ^{2}}{x ^{2}}

(5 x + 6) + (1 - 8 x) (x)

\frac{1}{3} x^{2} + 4

\frac{x + 3}{4 x + 3}

(x^{2} + 8 x) (x + 6)

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