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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \geq - \frac{9}{8}

X Intercepts : (- 1, 0), (2, 0), Y Intercepts : (0, 2)

Asymptotes : Vertical x = 1, Horizontal y = - 1

Extreme Points : Minimum (5, - \frac{9}{8})

+1

Interval Notation

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

Range : [- \frac{9}{8}, \infty)

Solution steps

Domain of

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

Range of

\frac{2 + x - x ^{2}}{( x - 1 ) ^{2}} : f (x) \geq - \frac{9}{8}

Axis interception points of

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

X Intercepts

: (- 1, 0), (2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = - 1

Extreme Points of

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

Minimum

(5, - \frac{9}{8})

Popular Examples

y = - 2 x + 4

P(x)=x^4-6x^3+5x^2

P (x) = x^{4} - 6 x^{3} + 5 x^{2}

y = 4 tan (\frac{π}{2} x)

f(x)=(5-x)^{2/3}

f (x) = (5 - x)^{\frac{2}{3}}

F (x) = - 2 x + 3

Frequently Asked Questions (FAQ)

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