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Popular >

f(x)=(6x^2-24)/(2x^2-4x)

Solution

f (x) = \frac{6 x ^{2} - 24}{2 x ^{2} - 4 x}

Solution

Domain : x < 0 or 0 < x < 2 or x > 2

Range : f (x) < 3 or 3 < f (x) < 6 or f (x) > 6

X Intercepts : (- 2, 0)

Asymptotes : Vertical x = 0, Horizontal y = 3

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 2) \cup (2, \infty)

Range : (- \infty, 3) \cup (3, 6) \cup (6, \infty)

Solution steps

Domain of

\frac{6 x ^{2} - 24}{2 x ^{2} - 4 x} : x < 0 or 0 < x < 2 or x > 2

Range of

\frac{6 x ^{2} - 24}{2 x ^{2} - 4 x} : f (x) < 3 or 3 < f (x) < 6 or f (x) > 6

Axis interception points of

\frac{6 x ^{2} - 24}{2 x ^{2} - 4 x} :

X Intercepts

: (- 2, 0)

Asymptotes of

\frac{6 x ^{2} - 24}{2 x ^{2} - 4 x} :

Vertical

: x = 0,

Horizontal

: y = 3

Extreme Points of

\frac{6 x ^{2} - 24}{2 x ^{2} - 4 x} :

None

Popular Examples

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f (x) = \frac{ln ( 5 x )}{x}

f(x)=-3sqrt(x)-2\sqrt[3]{x^2}

f(x)=-(3x)^{1/2}-4

f (x) = - (3 x)^{\frac{1}{2}} - 4

Frequently Asked Questions (FAQ)

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