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

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

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

domain

f (x) = lo g_{3} ((x + 2)^{2})

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > - 2

The function domain

x < - 2 or x > - 2

f (x) = \frac{1}{x - 3}

\frac{7 x}{8 x - 9}

f (x) = lo g_{10} (2 x + 7)

f (x) = \frac{3 x - 8}{x - 5}

f (x) = - 4 x + 4

What is the domain of f(x)=log_{3}((x+2)^2) ?
The domain of f(x)=log_{3}((x+2)^2) is x<-2\lor x>-2