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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) < 1 or f (x) > 1

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

Asymptotes : Vertical x = - 1, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, \infty)

Range : (- \infty, 1) \cup (1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

y=((x+2)(2x-3))/(4x^5)

y = \frac{( x + 2 ) ( 2 x - 3 )}{4 x ^{5}}

f(x)=(x+5)^{1/2}

f (x) = (x + 5)^{\frac{1}{2}}

g (x) = x^{2} + x - 2

f(x)=sqrt(4x+1)-4

f (x) = 4 x + 1 - 4

f (x) = 4 + 4 x - x^{2}

Frequently Asked Questions (FAQ)

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