What is the domain of f(x)=(3x-1)/(5-x) ?

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

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

domain

f (x) = \frac{3 x - 1}{5 - x}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

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

x^{3} - 3 x + 2

g (x) = \frac{1}{x ( x + 2 )}

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

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

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