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Popular >

y=sqrt((3x-2)/(x+1))

Solution

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

Solution

Domain : x < - 1 or x \geq \frac{2}{3}

Range : 0 \leq f (x) < 3 or f (x) > 3

X Intercepts : (\frac{2}{3}, 0)

Asymptotes : Vertical x = - 1, Horizontal y = 3

Extreme Points : Minimum (\frac{2}{3}, 0)

+1

Interval Notation

Domain : (- \infty, - 1) \cup [\frac{2}{3}, \infty)

Range : [0, 3) \cup (3, \infty)

Solution steps

Domain of

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

Range of

\frac{3 x - 2}{x + 1} : 0 \leq f (x) < 3 or f (x) > 3

Axis interception points of

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

X Intercepts

: (\frac{2}{3}, 0)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 3

Extreme Points of

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

Minimum

(\frac{2}{3}, 0)

Popular Examples

f(b)=2log_{b}(10)

f (b) = 2 lo g_{b} (10)

y = (x^{3} + 3) (x - 1)

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

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

y = 2 sin^{2} (x)

g (x) = 3 x^{2} - 6 x - 3

Frequently Asked Questions (FAQ)

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