What is the domain of f(x)=((x5^x))/(5^{(x+3))-6} ?

The domain of f(x)=((x5^x))/(5^{(x+3))-6} is x (ln(6))/(ln(5))-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=((x5^x))/(5^{(x+3))-6}

domain

f (x) = \frac{( x 5 ^{x} )}{5 ^{(x + 3)} - 6}

x < \frac{ln ( 6 )}{ln ( 5 )} - 3 or x > \frac{ln ( 6 )}{ln ( 5 )} - 3

Interval Notation

(- \infty, \frac{ln ( 6 )}{ln ( 5 )} - 3) \cup (\frac{ln ( 6 )}{ln ( 5 )} - 3, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{ln ( 6 )}{ln ( 5 )} - 3

The function domain

x < \frac{ln ( 6 )}{ln ( 5 )} - 3 or x > \frac{ln ( 6 )}{ln ( 5 )} - 3

f (x) = \frac{( a , b )}{a} b = 12

f (x) = \frac{x ^{2}}{e ^{x}}

- 3^{x} - 2

f (x) = \frac{x - 6}{x ^{2}}

f (x) = ln (y^{2} - 1)

What is the domain of f(x)=((x5^x))/(5^{(x+3))-6} ?
The domain of f(x)=((x5^x))/(5^{(x+3))-6} is x<(ln(6))/(ln(5))-3\lor x>(ln(6))/(ln(5))-3