What is the domain of f(x)= 2/(x^2-20x+75) ?

The domain of f(x)= 2/(x^2-20x+75) is x 15

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domain of f(x)= 2/(x^2-20x+75)

domain

f (x) = \frac{2}{x ^{2} - 20 x + 75}

x < 5 or 5 < x < 15 or x > 15

Interval Notation

(- \infty, 5) \cup (5, 15) \cup (15, \infty)

Solution steps

Find undefined (singularity) points:

x = 15, x = 5

The function domain

x < 5 or 5 < x < 15 or x > 15

f (x) = \frac{2}{7} tan (6 x)

(\frac{7}{x}) + (\frac{9}{x + 9})

- 5 x + 1

y = - \frac{1}{2} x - 4, (3, - 4)

(- 11.5) (- 5.7)

What is the domain of f(x)= 2/(x^2-20x+75) ?
The domain of f(x)= 2/(x^2-20x+75) is x<5\lor 5<x<15\lor x>15