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Popular >

y=(x-5)/(x^2-4x)

Solution

y = \frac{x - 5}{x ^{2} - 4 x}

Solution

Domain : x < 0 or 0 < x < 4 or x > 4

Range : f (x) \leq \frac{- 5 + 3}{8} or f (x) \geq \frac{5 + 3}{8}

X Intercepts : (5, 0)

Asymptotes : Vertical x = 0, x = 4, Horizontal y = 0

Extreme Points : Minimum (5 - 5, \frac{3 + 5}{8}), Maximum (5 + 5, \frac{3 - 5}{8})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 4) \cup (4, \infty)

Range : (- \infty, \frac{- 5 + 3}{8}] \cup [\frac{5 + 3}{8}, \infty)

Solution steps

Domain of

\frac{x - 5}{x ^{2} - 4 x} : x < 0 or 0 < x < 4 or x > 4

Range of

\frac{x - 5}{x ^{2} - 4 x} : f (x) \leq \frac{- 5 + 3}{8} or f (x) \geq \frac{5 + 3}{8}

Axis interception points of

\frac{x - 5}{x ^{2} - 4 x} :

X Intercepts

: (5, 0)

Asymptotes of

\frac{x - 5}{x ^{2} - 4 x} :

Vertical

: x = 0, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x - 5}{x ^{2} - 4 x} :

Minimum

(5 - 5, \frac{3 + 5}{8}),

Maximum

(5 + 5, \frac{3 - 5}{8})

Popular Examples

f(x)=-0.05x^2+300x+2000

f (x) = - 0.05 x^{2} + 300 x + 2000

f(x)=log_{4}(5x-9)

f (x) = lo g_{4} (5 x - 9)

f(x)=sqrt(6x+12)

f (x) = 6 x + 12

f (x) = cos (2 x) d x

y = - x^{2} - 4 x - 12

Frequently Asked Questions (FAQ)

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