What is the domain of f(x)=log_{10}(8/(x+5)) ?

The domain of f(x)=log_{10}(8/(x+5)) is x>-5

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domain of f(x)=log_{10}(8/(x+5))

domain

f (x) = lo g_{10} (\frac{8}{x + 5})

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find positive values for logs:

x > - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

8 - 4 x

f (x) = 4 x + 6

\frac{\frac{2}{x + 1}}{\frac{x}{x + 1}}

f (x) = x^{5} - 3 x^{4} + 1

y = 3 x

What is the domain of f(x)=log_{10}(8/(x+5)) ?
The domain of f(x)=log_{10}(8/(x+5)) is x>-5