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Popular >

y=(3x^2-13x-9)/(x-5)

Solution

y = \frac{3 x ^{2} - 13 x - 9}{x - 5}

Solution

Domain : x < 5 or x > 5

Range : f (x) \leq - 23 + 17 or f (x) \geq 23 + 17

X Intercepts : (\frac{13 + 277}{6}, 0), (\frac{13 - 277}{6}, 0), Y Intercepts : (0, \frac{9}{5})

Asymptotes : Vertical x = 5, Slant y = 3 x + 2

Extreme Points : Maximum (\frac{15 - 3}{3}, \frac{17 3 - 6}{3}), Minimum (\frac{15 + 3}{3}, \frac{6 + 17 3}{3})

+1

Interval Notation

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

Range : (- \infty, - 23 + 17] \cup [23 + 17, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - 13 x - 9}{x - 5} : x < 5 or x > 5

Range of

\frac{3 x ^{2} - 13 x - 9}{x - 5} : f (x) \leq - 23 + 17 or f (x) \geq 23 + 17

Axis interception points of

\frac{3 x ^{2} - 13 x - 9}{x - 5} :

X Intercepts

: (\frac{13 + 277}{6}, 0), (\frac{13 - 277}{6}, 0),

Y Intercepts

: (0, \frac{9}{5})

Asymptotes of

\frac{3 x ^{2} - 13 x - 9}{x - 5} :

Vertical

: x = 5,

Slant

: y = 3 x + 2

Extreme Points of

\frac{3 x ^{2} - 13 x - 9}{x - 5} :

Maximum

(\frac{15 - 3}{3}, \frac{17 3 - 6}{3}),

Minimum

(\frac{15 + 3}{3}, \frac{6 + 17 3}{3})

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Frequently Asked Questions (FAQ)

What is the y=(3x^2-13x-9)/(x-5) ?
The y=(3x^2-13x-9)/(x-5) is