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Popular Functions >

f(x)=(2x+10)/(x^2-3x-10)

Solution

f (x) = \frac{2 x + 10}{x ^{2} - 3 x - 10}

Solution

Domain : x < - 2 or - 2 < x < 5 or x > 5

Range : f (x) \leq \frac{- 4 30 - 26}{49} or f (x) \geq \frac{4 30 - 26}{49}

X Intercepts : (- 5, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - 2, x = 5, Horizontal y = 0

Extreme Points : Minimum (- 5 - 30, - \frac{2 ( 13 - 2 30 )}{49}), Maximum (30 - 5, - \frac{2 ( 2 30 + 13 )}{49})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 5) \cup (5, \infty)

Range : (- \infty, \frac{- 4 30 - 26}{49}] \cup [\frac{4 30 - 26}{49}, \infty)

Solution steps

Domain of

\frac{2 x + 10}{x ^{2} - 3 x - 10} : x < - 2 or - 2 < x < 5 or x > 5

Range of

\frac{2 x + 10}{x ^{2} - 3 x - 10} : f (x) \leq \frac{- 4 30 - 26}{49} or f (x) \geq \frac{4 30 - 26}{49}

Axis interception points of

\frac{2 x + 10}{x ^{2} - 3 x - 10} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{2 x + 10}{x ^{2} - 3 x - 10} :

Vertical

: x = - 2, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 10}{x ^{2} - 3 x - 10} :

Minimum

(- 5 - 30, - \frac{2 ( 13 - 2 30 )}{49}),

Maximum

(30 - 5, - \frac{2 ( 2 30 + 13 )}{49})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x+10)/(x^2-3x-10) ?
The f(x)=(2x+10)/(x^2-3x-10) is