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Popular >

f(x)=sqrt((x^2-1)/(x^3+x))

Solution

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

Solution

Domain : - 1 \leq x < 0 or x \geq 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (1, 0), Maximum 2 + 5, \frac{( 7 - 3 5 ) 2 + 5}{2}

+1

Interval Notation

Domain : [- 1, 0) \cup [1, \infty)

Solution steps

Domain of

\frac{x ^{2} - 1}{x ^{3} + x} : - 1 \leq x < 0 or x \geq 1

Axis interception points of

\frac{x ^{2} - 1}{x ^{3} + x} :

X Intercepts

: (1, 0), (- 1, 0)

Asymptotes of

\frac{x ^{2} - 1}{x ^{3} + x} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 1}{x ^{3} + x} :

Minimum

(1, 0),

Maximum

2 + 5, \frac{( 7 - 3 5 ) 2 + 5}{2}

Popular Examples

y = \frac{1}{2} tan (x)

f(x)=(x^3)/(x+1)

f (x) = \frac{x ^{3}}{x + 1}

f (x) = 2 - sin (x)

f(x)=log_{10}(x^2-1)

f (x) = lo g_{10} (x^{2} - 1)

f (x) = 11 x^{2}

Frequently Asked Questions (FAQ)

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