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Popular >

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

Solution

y = \frac{x - 5}{( x + 2 ) ^{2}}

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq \frac{1}{28}

X Intercepts : (5, 0), Y Intercepts : (0, - \frac{5}{4})

Asymptotes : Vertical x = - 2, Horizontal y = 0

Extreme Points : Maximum (12, \frac{1}{28})

+1

Interval Notation

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

Range : (- \infty, \frac{1}{28}]

Solution steps

Domain of

\frac{x - 5}{( x + 2 ) ^{2}} : x < - 2 or x > - 2

Range of

\frac{x - 5}{( x + 2 ) ^{2}} : f (x) \leq \frac{1}{28}

Axis interception points of

\frac{x - 5}{( x + 2 ) ^{2}} :

X Intercepts

: (5, 0),

Y Intercepts

: (0, - \frac{5}{4})

Asymptotes of

\frac{x - 5}{( x + 2 ) ^{2}} :

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 5}{( x + 2 ) ^{2}} :

Maximum

(12, \frac{1}{28})

Popular Examples

f(x)=((3x+2))/4

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

f(x)=2e^x+e^{-x}

f (x) = 2 e^{x} + e^{- x}

f(x)=((x-5)(x-12))/((x+3)(x-2)(x-5))

f (x) = \frac{( x - 5 ) ( x - 12 )}{( x + 3 ) ( x - 2 ) ( x - 5 )}

f(x)=(x-1)/(ln(x-2))

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

y = 6 x + 35

Frequently Asked Questions (FAQ)

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