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Popular Functions >

f(x)=(x^2)/(x^2-9)

Solution

f (x) = \frac{x ^{2}}{x ^{2} - 9}

Solution

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

Range : f (x) \leq 0 or f (x) > 1

X Intercepts : (0, 0), Y Intercepts : (0, 0)

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

Extreme Points : Maximum (0, 0)

+1

Interval Notation

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

Range : (- \infty, 0] \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{x ^{2} - 9} : f (x) \leq 0 or f (x) > 1

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 3, x = 3,

Horizontal

: y = 1

Extreme Points of

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

Maximum

(0, 0)

Graph

Popular Examples

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

f(x)=(x^2-16)/(x-4)

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

domain of g(x)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2)/(x^2-9) ?
The f(x)=(x^2)/(x^2-9) is