What is the domain of f(x)=(log_{10}(2+x))/(x+3) ?

The domain of f(x)=(log_{10}(2+x))/(x+3) is x>-2

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domain of f(x)=(log_{10}(2+x))/(x+3)

domain

f (x) = \frac{lo g _{10} ( 2 + x )}{x + 3}

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find positive values for logs:

x > - 2

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x > - 2

arctan (tan (x))

f (x) = - x^{2} + 4

\frac{1}{1 + e ^{- x}}

f (x) = \frac{1}{2} x + \frac{1}{2}

What is the domain of f(x)=(log_{10}(2+x))/(x+3) ?
The domain of f(x)=(log_{10}(2+x))/(x+3) is x>-2