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Popular >

y=sqrt((2x+1)/(x-1))

Solution

y = \frac{2 x + 1}{x - 1}

Solution

Domain : x \leq - \frac{1}{2} or x > 1

Range : 0 \leq f (x) < 2 or f (x) > 2

X Intercepts : (- \frac{1}{2}, 0)

Asymptotes : Vertical x = 1, Horizontal y = 2

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}] \cup (1, \infty)

Range : [0, 2) \cup (2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- \frac{1}{2}, 0)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 2

Extreme Points of

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

None

Popular Examples

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

f (x) = ln (x) e

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

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

f (x) = x^{\frac{4}{5}} - 2

y = \frac{7}{2} x - 3

Frequently Asked Questions (FAQ)

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