What is the domain of ln(1+(x+1)/(x+4)) ?

The domain of ln(1+(x+1)/(x+4)) is x -5/2

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domain of ln(1+(x+1)/(x+4))

domain

ln (1 + \frac{x + 1}{x + 4})

x < - 4 or x > - \frac{5}{2}

Interval Notation

(- \infty, - 4) \cup (- \frac{5}{2}, \infty)

Solution steps

Find positive values for logs:

x < - 4 or x > - \frac{5}{2}

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x < - 4 or x > - \frac{5}{2}

f (x) = x^{3} - 11 x^{2} + 39 x - 47

f (x) = x^{3} - 3 y = 12

f (x) = 2.5 x + 15.5

y = x^{2} - 8 x + 12

x - 5 x^{\frac{1}{5}}

What is the domain of ln(1+(x+1)/(x+4)) ?
The domain of ln(1+(x+1)/(x+4)) is x<-4\lor x>-5/2