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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq 0 or f (x) \geq 4

X Intercepts : (- 1, 0)

Asymptotes : Vertical x = 0, Slant y = x + 2

Extreme Points : Maximum (- 1, 0), Minimum (1, 4)

+1

Interval Notation

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

Range : (- \infty, 0] \cup [4, \infty)

Solution steps

Domain of

\frac{x ^{2} + 2 x + 1}{x} : x < 0 or x > 0

Range of

\frac{x ^{2} + 2 x + 1}{x} : f (x) \leq 0 or f (x) \geq 4

Axis interception points of

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

X Intercepts

: (- 1, 0)

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x + 2

Extreme Points of

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

Maximum

(- 1, 0),

Minimum

(1, 4)

Graph

Popular Examples

f(x)=sqrt(cos^2(x)+1)

f (x) = cos^{2} (x) + 1

y = 3 x^{2} - 6 x + 21

f(t)=e^{3t}+cos(6t)-e^{3t}cos(6t)

f (t) = e^{3 t} + cos (6 t) - e^{3 t} cos (6 t)

f(x)=(sqrt(1-x))/x

f (x) = \frac{1 - x}{x}

y=(3x-1)/(3x^2+5x-2)

y = \frac{3 x - 1}{3 x ^{2} + 5 x - 2}

Frequently Asked Questions (FAQ)

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