What is the range of (2x+3)/(x(x^2+2x-3)) ?

The range of (2x+3)/(x(x^2+2x-3)) is -infinity <f(x)<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of (2x+3)/(x(x^2+2x-3))

range

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

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find the minimum and maximum value in each defined interval and unite the results

Domain of

\frac{2 x + 3}{x ( x ^{2} + 2 x - 3 )} : x < - 3 or - 3 < x < 0 or 0 < x < 1 or x > 1

Extreme Points of

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

Maximum

(0.47271 \dots, - 4.55806 \dots)

Find the range for the interval

- \infty < x < - 3 : 0 < f (x) < \infty

Find the range for the interval

- 3 < x < 0 : - \infty < f (x) < \infty

Find the range for the interval

0 < x < 1 : - \infty < f (x) \leq - 4.55806 \dots

Find the range for the interval

1 < x < \infty : 0 < f (x) < \infty

Combine the ranges of all domain intervals to obtain the function range

f (x) > 0 or - \infty < f (x) < \infty or f (x) \leq - 4.55806 \dots or f (x) > 0

- \infty < f (x) < \infty

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

f (x) = 5 \cdot cos (\frac{2 \cdot π \cdot x}{3})

y = - tan (x - \frac{3 π}{2})

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

f (x) = 5 - x^{2}

What is the range of (2x+3)/(x(x^2+2x-3)) ?
The range of (2x+3)/(x(x^2+2x-3)) is -infinity <f(x)<infinity