What is the domain of f(x)=(2x^2-x-7)/(x^2+4) ?

The domain of f(x)=(2x^2-x-7)/(x^2+4) is -infinity <x<infinity

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domain of f(x)=(2x^2-x-7)/(x^2+4)

domain

f (x) = \frac{2 x ^{2} - x - 7}{x ^{2} + 4}

- \infty < x < \infty

Solution steps

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

- \infty < x < \infty

f (x) = 1 - (x - 4)^{2}

\frac{4}{x} + 6

f (x) = \frac{5}{x ^{2} - 4}

f (x) = 8 x + 6

m = 0, (0, 1)

What is the domain of f(x)=(2x^2-x-7)/(x^2+4) ?
The domain of f(x)=(2x^2-x-7)/(x^2+4) is -infinity <x<infinity