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Popular >

y=(4(x+1))/(x^2)-2

Solution

y = \frac{4 ( x + 1 )}{x ^{2}} - 2

Solution

Domain : x < 0 or x > 0

Range : - 3 \leq f (x) < - 2 or f (x) > - 2

X Intercepts : (1 - 3, 0), (1 + 3, 0)

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

Extreme Points : Minimum (- 2, - 3)

+1

Interval Notation

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

Range : [- 3, - 2) \cup (- 2, \infty)

Solution steps

Domain of

\frac{4 ( x + 1 )}{x ^{2}} - 2 : x < 0 or x > 0

Range of

\frac{4 ( x + 1 )}{x ^{2}} - 2 : - 3 \leq f (x) < - 2 or f (x) > - 2

Axis interception points of

\frac{4 ( x + 1 )}{x ^{2}} - 2 :

X Intercepts

: (1 - 3, 0), (1 + 3, 0)

Asymptotes of

\frac{4 ( x + 1 )}{x ^{2}} - 2 :

Vertical

: x = 0,

Horizontal

: y = - 2

Extreme Points of

\frac{4 ( x + 1 )}{x ^{2}} - 2 :

Minimum

(- 2, - 3)

Popular Examples

y = arcsinh (3 x)

y = \frac{4}{5 x}

f (v) = 2 v^{2}

y = ∣ x + 3 ∣ - 4

y = 16 - x

Frequently Asked Questions (FAQ)

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