en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=((4x+1)^3)/((2x-5)^4)

Solution

f (x) = \frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}}

Solution

Domain : x < \frac{5}{2} or x > \frac{5}{2}

Range : f (x) \geq - \frac{27}{176}

X Intercepts : (- \frac{1}{4}, 0), Y Intercepts : (0, \frac{1}{625})

Asymptotes : Vertical x = \frac{5}{2}, Horizontal y = 0

Extreme Points : Minimum (- \frac{17}{2}, - \frac{27}{176}), Saddle (- \frac{1}{4}, 0)

+1

Interval Notation

Domain : (- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Range : [- \frac{27}{176}, \infty)

Solution steps

Domain of

\frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}} : x < \frac{5}{2} or x > \frac{5}{2}

Range of

\frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}} : f (x) \geq - \frac{27}{176}

Axis interception points of

\frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}} :

X Intercepts

: (- \frac{1}{4}, 0),

Y Intercepts

: (0, \frac{1}{625})

Asymptotes of

\frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}} :

Vertical

: x = \frac{5}{2},

Horizontal

: y = 0

Extreme Points of

\frac{( 4 x + 1 ) ^{3}}{( 2 x - 5 ) ^{4}} :

Minimum

(- \frac{17}{2}, - \frac{27}{176}),

Saddle

(- \frac{1}{4}, 0)

Popular Examples

expand ((x-2)*0.8)/(x-1)expand

\frac{( x - 2 ) \cdot 0.8}{x - 1}

expand 7x-8(-x+7=-16+7x)expand

7 x - 8 (- x + 7 = - 16 + 7 x)

expand e^{3t-12}h(t-4)expand

e^{3 t - 12} h (t - 4)

expand x/((x-3)(x^2+4)^9)expand

\frac{x}{( x - 3 ) ( x ^{2} + 4 ) ^{9}}

expand 1/(s(bs+1))expand

\frac{1}{s ( b s + 1 )}

Frequently Asked Questions (FAQ)

What is the f(x)=((4x+1)^3)/((2x-5)^4) ?
The f(x)=((4x+1)^3)/((2x-5)^4) is