What is the domain of f(x)=(5x^2+1)/(x^2+x+25) ?

The domain of f(x)=(5x^2+1)/(x^2+x+25) is -infinity <x<infinity

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domain of f(x)=(5x^2+1)/(x^2+x+25)

domain

f (x) = \frac{5 x ^{2} + 1}{x ^{2} + x + 25}

- \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

What is the domain of f(x)=(5x^2+1)/(x^2+x+25) ?
The domain of f(x)=(5x^2+1)/(x^2+x+25) is -infinity <x<infinity