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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - 2 or f (x) \geq 6

Y Intercepts : (0, - 3)

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

Extreme Points : Maximum (- 1, - 2), Minimum (3, 6)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [6, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 3}{x - 1} : f (x) \leq - 2 or f (x) \geq 6

Axis interception points of

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

Y Intercepts

: (0, - 3)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = x + 1

Extreme Points of

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

Maximum

(- 1, - 2),

Minimum

(3, 6)

Popular Examples

y = - 3 x^{2} + 2 x - 2

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

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

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

f(x)=-x^3+15x^2-x

f (x) = - x^{3} + 15 x^{2} - x

f(x)=sin(1/(x-1))

f (x) = sin (\frac{1}{x - 1})

Frequently Asked Questions (FAQ)

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