en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=((x+1)^2)/(sqrt(2x-1))

Solution

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

Solution

Domain : x > \frac{1}{2}

Range : f (x) \geq 4

Intercepts : None

Asymptotes : Vertical x = \frac{1}{2}

Extreme Points : Minimum (1, 4)

+1

Interval Notation

Domain : (\frac{1}{2}, \infty)

Range : [4, \infty)

Solution steps

Domain of

\frac{( x + 1 ) ^{2}}{2 x - 1} : x > \frac{1}{2}

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = \frac{1}{2}

Extreme Points of

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

Minimum

(1, 4)

Popular Examples

y = - 1 x + 1

f(x)=(x^2(x+1))/((x^2+1)^{3/2)}

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

f(x)=x^4+8x^3-2x^2-24x+1

f (x) = x^{4} + 8 x^{3} - 2 x^{2} - 24 x + 1

y = 5 x^{2} - 13 x - 6

y = arcsin (6 x + 1)

Frequently Asked Questions (FAQ)

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