What is the domain of f(x)=(log_{10}(x+7))/x ?

The domain of f(x)=(log_{10}(x+7))/x is -7 0

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domain of f(x)=(log_{10}(x+7))/x

domain

f (x) = \frac{lo g _{10} ( x + 7 )}{x}

- 7 < x < 0 or x > 0

Interval Notation

(- 7, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x > - 7

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 7 < x < 0 or x > 0

ln (- x + 5)

- x^{3} - 3 x^{2} + 4

\frac{8 + 7 x}{6 x - 7}

x^{2} - 4 x + 9

y = arctan (x - 3)

What is the domain of f(x)=(log_{10}(x+7))/x ?
The domain of f(x)=(log_{10}(x+7))/x is -7<x<0\lor x>0