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Popular >

f(x)=(5x^2-5)/(-3x^2-6x+9)

Solution

f (x) = \frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9}

Solution

Domain : x < - 3 or - 3 < x < 1 or x > 1

Range : f (x) > - \frac{5}{3}

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{5}{9})

Asymptotes : Vertical x = - 3, Horizontal y = - \frac{5}{3}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 1) \cup (1, \infty)

Range : (- \frac{5}{3}, \infty)

Solution steps

Domain of

\frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9} : x < - 3 or - 3 < x < 1 or x > 1

Range of

\frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9} : f (x) > - \frac{5}{3}

Axis interception points of

\frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9} :

X Intercepts

: (- 1, 0),

Y Intercepts

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

Asymptotes of

\frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9} :

Vertical

: x = - 3,

Horizontal

: y = - \frac{5}{3}

Extreme Points of

\frac{5 x ^{2} - 5}{- 3 x ^{2} - 6 x + 9} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(5x^2-5)/(-3x^2-6x+9) ?
The f(x)=(5x^2-5)/(-3x^2-6x+9) is