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Popular >

y=(x^2-4)/(x^2-9)

Solution

y = \frac{x ^{2} - 4}{x ^{2} - 9}

Solution

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

Range : f (x) \leq \frac{4}{9} or f (x) > 1

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, \frac{4}{9})

Asymptotes : Vertical x = - 3, x = 3, Horizontal y = 1

Extreme Points : Maximum (0, \frac{4}{9})

+1

Interval Notation

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

Range : (- \infty, \frac{4}{9}] \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{x ^{2} - 4}{x ^{2} - 9} : f (x) \leq \frac{4}{9} or f (x) > 1

Axis interception points of

\frac{x ^{2} - 4}{x ^{2} - 9} :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, \frac{4}{9})

Asymptotes of

\frac{x ^{2} - 4}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 4}{x ^{2} - 9} :

Maximum

(0, \frac{4}{9})

Popular Examples

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

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

f(x)=2x^4-4x^2+1

f (x) = 2 x^{4} - 4 x^{2} + 1

f(x)=(x^2+2x-8)(x-6)

f (x) = (x^{2} + 2 x - 8) (x - 6)

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

f(x)=(x^2-x)/(x+1)

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

Frequently Asked Questions (FAQ)

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