en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=log_{2}((2-3x)/(3-x))

Solution

f (x) = lo g_{2} (\frac{2 - 3 x}{3 - x})

Solution

Domain : x < \frac{2}{3} or x > 3

Range : f (x) < \frac{ln ( 3 )}{ln ( 2 )} or f (x) > \frac{ln ( 3 )}{ln ( 2 )}

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, 1 - lo g_{2} (3))

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \frac{2}{3}) \cup (3, \infty)

Range : (- \infty, \frac{ln ( 3 )}{ln ( 2 )}) \cup (\frac{ln ( 3 )}{ln ( 2 )}, \infty)

Solution steps

Domain of

lo g_{2} (\frac{2 - 3 x}{3 - x}) : x < \frac{2}{3} or x > 3

Range of

lo g_{2} (\frac{2 - 3 x}{3 - x}) : f (x) < \frac{ln ( 3 )}{ln ( 2 )} or f (x) > \frac{ln ( 3 )}{ln ( 2 )}

Axis interception points of

lo g_{2} (\frac{2 - 3 x}{3 - x}) :

X Intercepts

: (- \frac{1}{2}, 0),

Y Intercepts

: (0, 1 - lo g_{2} (3))

Extreme Points of

lo g_{2} (\frac{2 - 3 x}{3 - x}) :

None

Popular Examples

y = ln (x - 3)

y = x x + 1

y = x - 9

y = x + 7

f(x)=-4/(x^2-3x)

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

Frequently Asked Questions (FAQ)

What is the f(x)=log_{2}((2-3x)/(3-x)) ?
The f(x)=log_{2}((2-3x)/(3-x)) is