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Popular >

y= 1/(x^2-4x-5)

Solution

y = \frac{1}{x ^{2} - 4 x - 5}

Solution

Domain : x < - 1 or - 1 < x < 5 or x > 5

Range : f (x) \leq - \frac{1}{9} or f (x) > 0

Y Intercepts : (0, - \frac{1}{5})

Asymptotes : Vertical x = - 1, x = 5, Horizontal y = 0

Extreme Points : Maximum (2, - \frac{1}{9})

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 5) \cup (5, \infty)

Range : (- \infty, - \frac{1}{9}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x ^{2} - 4 x - 5} : x < - 1 or - 1 < x < 5 or x > 5

Range of

\frac{1}{x ^{2} - 4 x - 5} : f (x) \leq - \frac{1}{9} or f (x) > 0

Axis interception points of

\frac{1}{x ^{2} - 4 x - 5} :

Y Intercepts

: (0, - \frac{1}{5})

Asymptotes of

\frac{1}{x ^{2} - 4 x - 5} :

Vertical

: x = - 1, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} - 4 x - 5} :

Maximum

(2, - \frac{1}{9})

Popular Examples

y=-1/4 (x+2)^2+1

y = - \frac{1}{4} (x + 2)^{2} + 1

f(x)=\sqrt[3]{x^4}

solvefor y,y=cos(10θ)solve for

y, y = cos (10 θ)

f(x)=(x^2-x-6)/(x-5)

f (x) = \frac{x ^{2} - x - 6}{x - 5}

y = 2 sin^{3} (x)

Frequently Asked Questions (FAQ)

What is the y= 1/(x^2-4x-5) ?
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