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Popular >

f(t)=(e^{-6t})/(1-e^{-t)}

Solution

f (t) = \frac{e ^{- 6 t}}{1 - e ^{- t}}

Solution

Domain : t < 0 or t > 0

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

Intercepts : None

Asymptotes : Vertical t = 0, Horizontal y = 0

Extreme Points : Maximum (- ln (6) + ln (5), - \frac{5}{e ^{6 (- l n (6) + l n (5))}})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{e ^{- 6 t}}{1 - e ^{- t}} : t < 0 or t > 0

Range of

\frac{e ^{- 6 t}}{1 - e ^{- t}} : - \infty < f (t) < \infty

Axis interception points of

\frac{e ^{- 6 t}}{1 - e ^{- t}} :

None

Asymptotes of

\frac{e ^{- 6 t}}{1 - e ^{- t}} :

Vertical

: t = 0,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{- 6 t}}{1 - e ^{- t}} :

Maximum

(- ln (6) + ln (5), - \frac{5}{e ^{6 (- l n (6) + l n (5))}})

Popular Examples

f(x)= 1/(sqrt(x-3))

f (x) = \frac{1}{x - 3}

y=sqrt(2tan^3(x)-1)

y = 2 tan^{3} (x) - 1

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f(x)=(2x+4)/(-x^2+4)

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

f(x)= 9/(7x-28)

f (x) = \frac{9}{7 x - 28}

Frequently Asked Questions (FAQ)

What is the f(t)=(e^{-6t})/(1-e^{-t)} ?
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