What is the domain of f(x)=(3x^2-8x-3)/(x-3) ?

The domain of f(x)=(3x^2-8x-3)/(x-3) is x 3

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domain of f(x)=(3x^2-8x-3)/(x-3)

domain

f (x) = \frac{3 x ^{2} - 8 x - 3}{x - 3}

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

f (x) = \frac{x ^{2} + 6 x + 8}{x + 4}

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

f (x) = 5^{x} + 6

f (x) = \frac{( x + 4 )}{x ^{2} + x - 6}

f (x) = 5^{x} - 1

What is the domain of f(x)=(3x^2-8x-3)/(x-3) ?
The domain of f(x)=(3x^2-8x-3)/(x-3) is x<3\lor x>3