What is the domain of f(x)=(2x^2-x-8)/(x^2+9) ?

The domain of f(x)=(2x^2-x-8)/(x^2+9) is -infinity <x<infinity

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domain of f(x)=(2x^2-x-8)/(x^2+9)

domain

f (x) = \frac{2 x ^{2} - x - 8}{x ^{2} + 9}

- \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{1}{6 - x}

f (x) = \frac{x ^{2}}{x ^{2} + x - 90}

f (x) = \frac{6}{( x - 9 )}

f (x) = 8 sin (2 x)

\frac{e ^{x}}{3 + e ^{x}}

What is the domain of f(x)=(2x^2-x-8)/(x^2+9) ?
The domain of f(x)=(2x^2-x-8)/(x^2+9) is -infinity <x<infinity