What is the domain of f(x)=log_{5}((x+1)(x-1)) ?

The domain of f(x)=log_{5}((x+1)(x-1)) is x 1

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domain of f(x)=log_{5}((x+1)(x-1))

domain

f (x) = lo g_{5} ((x + 1) (x - 1))

x < - 1 or x > 1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

Find positive values for logs:

x < - 1 or x > 1

The function domain

x < - 1 or x > 1

- 2 (3 x)^{\frac{1}{6}}

P (t) = \frac{t - 5}{3 t - 24}

f (x) = \frac{1}{2} (x + 1)^{2} - 12

f (x) = \frac{5 x}{∣ x ∣ - 2}

f (x) = 120 x - 3 x^{2}

What is the domain of f(x)=log_{5}((x+1)(x-1)) ?
The domain of f(x)=log_{5}((x+1)(x-1)) is x<-1\lor x>1