What is the domain of f(x)= 1/(5x-15) ?

The domain of f(x)= 1/(5x-15) is x 3

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domain of f(x)= 1/(5x-15)

domain

f (x) = \frac{1}{5 x - 15}

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

x^{2}, x < 0

f (x) = 6 x - x^{2}

f (x) = lo g_{10} (7 - 4 x)

ln (2 x)

f (x) = (2 x - 3)^{2}

What is the domain of f(x)= 1/(5x-15) ?
The domain of f(x)= 1/(5x-15) is x<3\lor x>3