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

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

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domain of f(x)=2x^2+1

domain

f (x) = 2 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

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

f (x) = \frac{2 x - 1}{x + 3}

f (x) = 3 x + 6

(1, 5), (4, 11)

f (x) = 6 - (\frac{2}{2 x - 1})

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