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Popular >

g(x)=(x^2)/(x-1)

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq 0 or f (x) \geq 4

X Intercepts : (0, 0), Y Intercepts : (0, 0)

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

Extreme Points : Maximum (0, 0), Minimum (2, 4)

+1

Interval Notation

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

Range : (- \infty, 0] \cup [4, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{x - 1} : f (x) \leq 0 or f (x) \geq 4

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = x + 1

Extreme Points of

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

Maximum

(0, 0),

Minimum

(2, 4)

Popular Examples

f(x)=sin^2(x+1)

f (x) = sin^{2} (x + 1)

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

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

y = 4^{x - 2}

f(x)=3x-5x^2+8x^4-2

f (x) = 3 x - 5 x^{2} + 8 x^{4} - 2

f (x) = - \frac{x}{2} - 7

Frequently Asked Questions (FAQ)

What is the g(x)=(x^2)/(x-1) ?
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