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Popular Functions >

f(x)=(3x-1)/(x-5)

Solution

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

Solution

Domain : x < 5 or x > 5

Range : f (x) < 3 or f (x) > 3

X Intercepts : (\frac{1}{3}, 0), Y Intercepts : (0, \frac{1}{5})

Asymptotes : Vertical x = 5, Horizontal y = 3

Extreme Points : None

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Interval Notation

Domain : (- \infty, 5) \cup (5, \infty)

Range : (- \infty, 3) \cup (3, \infty)

Solution steps

Domain of

\frac{3 x - 1}{x - 5} : x < 5 or x > 5

Range of

\frac{3 x - 1}{x - 5} : f (x) < 3 or f (x) > 3

Axis interception points of

\frac{3 x - 1}{x - 5} :

X Intercepts

: (\frac{1}{3}, 0),

Y Intercepts

: (0, \frac{1}{5})

Asymptotes of

\frac{3 x - 1}{x - 5} :

Vertical

: x = 5,

Horizontal

: y = 3

Extreme Points of

\frac{3 x - 1}{x - 5} :

None

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(3x-1)/(x-5) ?
The f(x)=(3x-1)/(x-5) is