What is the domain of f(x)=(3x^2+15x)/(x^2+1) ?

The domain of f(x)=(3x^2+15x)/(x^2+1) is -infinity <x<infinity

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domain of f(x)=(3x^2+15x)/(x^2+1)

domain

f (x) = \frac{3 x ^{2} + 15 x}{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

\frac{x ^{2}}{( 1 - x ^{2} )}

f (x) = 4 15 x - 3

f (x) = 0.04 - \frac{x}{500}

ln (3 x - x^{2})

\frac{sin ( x )}{cos ( x )}

What is the domain of f(x)=(3x^2+15x)/(x^2+1) ?
The domain of f(x)=(3x^2+15x)/(x^2+1) is -infinity <x<infinity