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Popular >

f(x)=(5x^4-3x^3)/(x^5)

Solution

f (x) = \frac{5 x ^{4} - 3 x ^{3}}{x ^{5}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{25}{12}

X Intercepts : (\frac{3}{5}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (\frac{6}{5}, \frac{25}{12})

+1

Interval Notation

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

Range : (- \infty, \frac{25}{12}]

Solution steps

Domain of

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}} : x < 0 or x > 0

Range of

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}} : f (x) \leq \frac{25}{12}

Axis interception points of

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}} :

X Intercepts

: (\frac{3}{5}, 0)

Asymptotes of

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}} :

Maximum

(\frac{6}{5}, \frac{25}{12})

Popular Examples

f (x) = x^{\frac{3}{8}}

f (m) = m^{2} - 3 m + 2

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

f(x)=sqrt(x^4-16)

f (x) = x^{4} - 16

y=ln(sqrt(tan(x)))

y = ln (tan (x))

Frequently Asked Questions (FAQ)

What is the f(x)=(5x^4-3x^3)/(x^5) ?
The f(x)=(5x^4-3x^3)/(x^5) is