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

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

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

domain

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

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

\frac{4}{5}

f (x) = \frac{x ^{2} + 3}{7 x - 4 x ^{2}}

f (x) = 4 x - 6

3 x^{4} + 16 x^{3}

y = x^{2} + 2 x - 15

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