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Popular >

f(x)=(4-3x-x^2)/(x-2)

Solution

f (x) = \frac{4 - 3 x - x ^{2}}{x - 2}

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 26 - 7 or f (x) \geq 26 - 7

X Intercepts : (- 4, 0), (1, 0), Y Intercepts : (0, - 2)

Asymptotes : Vertical x = 2, Slant y = - x - 5

Extreme Points : Minimum (2 - 6, - \frac{7 6 - 12}{6}), Maximum (2 + 6, \frac{- 12 - 7 6}{6})

+1

Interval Notation

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

Range : (- \infty, - 26 - 7] \cup [26 - 7, \infty)

Solution steps

Domain of

\frac{4 - 3 x - x ^{2}}{x - 2} : x < 2 or x > 2

Range of

\frac{4 - 3 x - x ^{2}}{x - 2} : f (x) \leq - 26 - 7 or f (x) \geq 26 - 7

Axis interception points of

\frac{4 - 3 x - x ^{2}}{x - 2} :

X Intercepts

: (- 4, 0), (1, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{4 - 3 x - x ^{2}}{x - 2} :

Vertical

: x = 2,

Slant

: y = - x - 5

Extreme Points of

\frac{4 - 3 x - x ^{2}}{x - 2} :

Minimum

(2 - 6, - \frac{7 6 - 12}{6}),

Maximum

(2 + 6, \frac{- 12 - 7 6}{6})

Popular Examples

y = 15 - 5 x

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

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

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

f(x)=2+sqrt(4-x)+x

f (x) = 2 + 4 - x + x

y = 1 - ∣ x - 2 ∣

Frequently Asked Questions (FAQ)

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