What is the domain of f(x)=(2x-1)/(x^2-6x+5) ?

The domain of f(x)=(2x-1)/(x^2-6x+5) is x 5

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domain of f(x)=(2x-1)/(x^2-6x+5)

domain

f (x) = \frac{2 x - 1}{x ^{2} - 6 x + 5}

x < 1 or 1 < x < 5 or x > 5

Interval Notation

(- \infty, 1) \cup (1, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 1

The function domain

x < 1 or 1 < x < 5 or x > 5

f (x) = lo g_{3} (x + 3)

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

1

f (x) = lo g_{2} (8 x)

f (x) = \frac{2 x + 5}{x - 3}

What is the domain of f(x)=(2x-1)/(x^2-6x+5) ?
The domain of f(x)=(2x-1)/(x^2-6x+5) is x<1\lor 1<x<5\lor x>5