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Popular >

f(x)= 1/(x^2-5)

Solution

f (x) = \frac{1}{x ^{2} - 5}

Solution

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

Range : f (x) \leq - \frac{1}{5} or f (x) > 0

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

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

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

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{5}] \cup (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 5, x = 5,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

integral of sin(22x)sin(23x)

\int sin (22 x) sin (23 x) d x

integral of (-1)/t

\int \frac{- 1}{t} d t

limit as x approaches 1+of x^{x/(1-x)}

x \to 1 + lim (x^{\frac{x}{1 - x}})

x^2(dy)/(dx)=y-xy,y(-1)=-4

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

derivative of pi/((2x)^5)derivative of

\frac{π}{( 2 x ) ^{5}}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(x^2-5) ?
The f(x)= 1/(x^2-5) is