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Popular >

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

Solution

f (x) = \frac{( x ^{2} - 4 )}{( x ^{2} - 4 x )}

Solution

Domain : x < 0 or 0 < x < 4 or x > 4

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

X Intercepts : (2, 0), (- 2, 0)

Asymptotes : Vertical x = 0, x = 4, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 4) \cup (4, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} - 4 x} : x < 0 or 0 < x < 4 or x > 4

Range of

\frac{x ^{2} - 4}{x ^{2} - 4 x} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

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

Asymptotes of

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

Vertical

: x = 0, x = 4,

Horizontal

: y = 1

Extreme Points of

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

None

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Frequently Asked Questions (FAQ)

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