What is the domain of f(x)=(2x)/(x^2-12x+35) ?

The domain of f(x)=(2x)/(x^2-12x+35) is x 7

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domain of f(x)=(2x)/(x^2-12x+35)

domain

f (x) = \frac{2 x}{x ^{2} - 12 x + 35}

x < 5 or 5 < x < 7 or x > 7

Interval Notation

(- \infty, 5) \cup (5, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 5

The function domain

x < 5 or 5 < x < 7 or x > 7

\frac{x ^{2} - x}{x ^{2} - 1}

f (x) = \frac{x ^{2} - 100}{x - 10}

\frac{5 x - 3}{2 x + 1}

\frac{1}{3} x - 2

\frac{1}{x ^{2} - 2 x - 3}

What is the domain of f(x)=(2x)/(x^2-12x+35) ?
The domain of f(x)=(2x)/(x^2-12x+35) is x<5\lor 5<x<7\lor x>7