What is the domain of f(x)=(2x^2+3)/(4x^3+1) ?

The domain of f(x)=(2x^2+3)/(4x^3+1) is x -1/(\sqrt[3]{4)}

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domain of f(x)=(2x^2+3)/(4x^3+1)

domain

f (x) = \frac{2 x ^{2} + 3}{4 x ^{3} + 1}

Interval Notation

Solution steps

Find undefined (singularity) points:

The function domain

\frac{2 x - 4}{x ^{2} + x - 2}

(25, 1), (30, 0)

y = x + 3

f (x) = 2 x + 1

f (x) = \frac{2 x + 12}{3 x}

What is the domain of f(x)=(2x^2+3)/(4x^3+1) ?
The domain of f(x)=(2x^2+3)/(4x^3+1) is x<-1/(\sqrt[3]{4)}\lor x>-1/(\sqrt[3]{4)}