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Popular Functions >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - 22 - 2 or f (x) \geq 22 - 2

Y Intercepts : (0, 1)

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

Extreme Points : Maximum (- 1 - 2, - 22 - 2), Minimum (- 1 + 2, 22 - 2)

+1

Interval Notation

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

Range : (- \infty, - 22 - 2] \cup [22 - 2, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 1}{x + 1} : f (x) \leq - 22 - 2 or f (x) \geq 22 - 2

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = - 1,

Slant

: y = x - 1

Extreme Points of

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

Maximum

(- 1 - 2, - 22 - 2),

Minimum

(- 1 + 2, 22 - 2)

Graph

Popular Examples

f(x)=(sin(x)-cos(x))/(sin(x)+cos(x))

domain of f(y)=ln(y-1)+e^{y^2-3}+(y^2-4)^{5/3}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+1)/(x+1) ?
The f(x)=(x^2+1)/(x+1) is