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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - 23 + 2 or f (x) \geq 23 + 2

Y Intercepts : (0, - 2)

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

Extreme Points : Maximum (1 - 3, - \frac{6 - 2 3}{3}), Minimum (1 + 3, \frac{6 + 2 3}{3})

+1

Interval Notation

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

Range : (- \infty, - 23 + 2] \cup [23 + 2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - 2)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = x + 1

Extreme Points of

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

Maximum

(1 - 3, - \frac{6 - 2 3}{3}),

Minimum

(1 + 3, \frac{6 + 2 3}{3})

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+2)/(x-1) ?
The f(x)=(x^2+2)/(x-1) is