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Popular >

f(x)=(x/(4-x))e^{-x}

Solution

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

Solution

Domain : x < 4 or x > 4

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 4, Horizontal y = 0

Extreme Points : Saddle (2, \frac{1}{e ^{2}})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x}{4 - x} e^{- x} : - \infty < f (x) < \infty

Axis interception points of

\frac{x}{4 - x} e^{- x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{4 - x} e^{- x} :

Vertical

: x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x}{4 - x} e^{- x} :

Saddle

(2, \frac{1}{e ^{2}})

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h(t)=-4t^2+68t+160

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Frequently Asked Questions (FAQ)

What is the f(x)=(x/(4-x))e^{-x} ?
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