What is the domain of f(x)=log_{10}(x^2-25) ?

The domain of f(x)=log_{10}(x^2-25) is x 5

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domain of f(x)=log_{10}(x^2-25)

domain

f (x) = lo g_{10} (x^{2} - 25)

x < - 5 or x > 5

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 5 or x > 5

The function domain

x < - 5 or x > 5

f (x) = \frac{x + 5}{5}

- x^{2} - 6 x

f (x) = x^{2} - 8 x + 16

f (x) = 2^{- x} - 7

4 (x - 4) - 3

What is the domain of f(x)=log_{10}(x^2-25) ?
The domain of f(x)=log_{10}(x^2-25) is x<-5\lor x>5