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Popular >

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

Solution

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

Solution

Domain : x < 0 or x \geq 3

Range : 0 \leq f (x) < \frac{1}{e ^{3}} or \frac{1}{e ^{3}} < f (x) < 1

X Intercepts : (3, 0)

Asymptotes : Horizontal y = \frac{1}{e ^{3}}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup [3, \infty)

Range : [0, \frac{1}{e ^{3}}) \cup (\frac{1}{e ^{3}}, 1)

Solution steps

Domain of

(1 - \frac{3}{x})^{x} : x < 0 or x \geq 3

Range of

(1 - \frac{3}{x})^{x} : 0 \leq f (x) < \frac{1}{e ^{3}} or \frac{1}{e ^{3}} < f (x) < 1

Axis interception points of

(1 - \frac{3}{x})^{x} :

X Intercepts

: (3, 0)

Asymptotes of

(1 - \frac{3}{x})^{x} :

Horizontal

: y = \frac{1}{e ^{3}}

Extreme Points of

(1 - \frac{3}{x})^{x} :

None

Popular Examples

f(x)=(x^3)/3-425x^2+150000x-5000

f (x) = \frac{x ^{3}}{3} - 425 x^{2} + 150000 x - 5000

y = - (x - 1)^{2} + 5

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

derivative of sin(2x+2sin(x))

\frac{d}{d x} (sin (2 x) + 2 sin (x))

f (x) = 9^{x + 1}

Frequently Asked Questions (FAQ)

What is the f(x)=(1-(3/x))^x ?
The f(x)=(1-(3/x))^x is