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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - 26 + 5 or f (x) \geq 26 + 5

X Intercepts : (\frac{1}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1, Slant y = 3 x + 2

Extreme Points : Maximum (- \frac{2}{3} + 1, 5 - 26), Minimum (\frac{2}{3} + 1, 26 + 5)

+1

Interval Notation

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

Range : (- \infty, - 26 + 5] \cup [26 + 5, \infty)

Solution steps

Domain of

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

Range of

3 x + 2 + \frac{2}{x - 1} : f (x) \leq - 26 + 5 or f (x) \geq 26 + 5

Axis interception points of

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

X Intercepts

: (\frac{1}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = 3 x + 2

Extreme Points of

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

Maximum

(- \frac{2}{3} + 1, 5 - 26),

Minimum

(\frac{2}{3} + 1, 26 + 5)

Popular Examples

y=\sqrt[3]{sin(x)}

f (x) = \frac{4 x + 12}{2}

f(x)=-sin(3x)*3

f (x) = - sin (3 x) \cdot 3

y= 1/15*(x-3)*(x-5)*e^x

y = \frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x}

f (t) = 5 t - 9 t^{2}

Frequently Asked Questions (FAQ)

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