What is the domain of f(x)=(3x+1)/(5x-20) ?

The domain of f(x)=(3x+1)/(5x-20) is x 4

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domain of f(x)=(3x+1)/(5x-20)

domain

f (x) = \frac{3 x + 1}{5 x - 20}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

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

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

20 - x^{2}

f (x) = \frac{2 x - 4}{14 x ^{2} - 3 x - 5}

f (x) = \frac{2 x - 11}{2 x - 6}

What is the domain of f(x)=(3x+1)/(5x-20) ?
The domain of f(x)=(3x+1)/(5x-20) is x<4\lor x>4