What is the domain of f(x)=(3x+2)/(4x-20) ?

The domain of f(x)=(3x+2)/(4x-20) is x 5

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domain of f(x)=(3x+2)/(4x-20)

domain

f (x) = \frac{3 x + 2}{4 x - 20}

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

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

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

y = x^{2} - 3 x - 4

y = 4 x - \frac{1}{5}

5 x + 5 x - 6

What is the domain of f(x)=(3x+2)/(4x-20) ?
The domain of f(x)=(3x+2)/(4x-20) is x<5\lor x>5