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Popular >

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

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (1, 0), Y Intercepts : (0, \frac{1}{4})

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x - 1}{( x - 2 ) ( x + 2 )} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{x - 1}{( x - 2 ) ( x + 2 )} : - \infty < f (x) < \infty

Axis interception points of

\frac{x - 1}{( x - 2 ) ( x + 2 )} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{x - 1}{( x - 2 ) ( x + 2 )} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 1}{( x - 2 ) ( x + 2 )} :

None

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Frequently Asked Questions (FAQ)

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