What is the domain of f(x)=log_{10}(x^2-5x) ?

The domain of f(x)=log_{10}(x^2-5x) is x 5

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domain of f(x)=log_{10}(x^2-5x)

domain

f (x) = lo g_{10} (x^{2} - 5 x)

x < 0 or x > 5

Interval Notation

(- \infty, 0) \cup (5, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 5

The function domain

x < 0 or x > 5

4 x + 16

f (x) = (- 5 x^{2} + 2 x) 2 x - 3

\frac{4 x}{1 + 7 x}

f (x) = x^{2} + 2 x - 5

g (x) = x + 18

What is the domain of f(x)=log_{10}(x^2-5x) ?
The domain of f(x)=log_{10}(x^2-5x) is x<0\lor x>5