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Popular >

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

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 23 - 1 or f (x) \geq 23 - 1

Y Intercepts : (0, \frac{5}{2})

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

Extreme Points : Minimum (2 - 3, - \frac{4 3 - 6}{3} + 3), Maximum (2 + 3, \frac{- 6 - 4 3}{3} + 3)

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, \infty)

Range : (- \infty, - 23 - 1] \cup [23 - 1, \infty)

Solution steps

Domain of

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

Range of

\frac{1 - x ^{2}}{x - 2} + 3 : f (x) \leq - 23 - 1 or f (x) \geq 23 - 1

Axis interception points of

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

Y Intercepts

: (0, \frac{5}{2})

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = - x + 1

Extreme Points of

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

Minimum

(2 - 3, - \frac{4 3 - 6}{3} + 3),

Maximum

(2 + 3, \frac{- 6 - 4 3}{3} + 3)

Popular Examples

p (x) = x^{2}

f(x)=(x^5)/(6-x^3)

f (x) = \frac{x ^{5}}{6 - x ^{3}}

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

f (x) = - 3 (\frac{1}{2})^{x}

f(x)=(3x^3+7x+9)/(13)

f (x) = \frac{3 x ^{3} + 7 x + 9}{13}

Frequently Asked Questions (FAQ)

What is the y=(1-x^2)/(x-2)+3 ?
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