What is the domain of f(x)=(2x^2+3x-5)/(x^2+2) ?

The domain of f(x)=(2x^2+3x-5)/(x^2+2) is -infinity <x<infinity

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domain of f(x)=(2x^2+3x-5)/(x^2+2)

domain

f (x) = \frac{2 x ^{2} + 3 x - 5}{x ^{2} + 2}

- \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) = 3 - 2 \cdot \frac{1}{x - 2}

f (t) = 4 - 2 t

\frac{x}{x ^{2} - 5 x - 6}

f (x) = \frac{x}{x + 1}

f (x) = x - 5 x^{3} - x^{2} - 2 x

What is the domain of f(x)=(2x^2+3x-5)/(x^2+2) ?
The domain of f(x)=(2x^2+3x-5)/(x^2+2) is -infinity <x<infinity