What is the domain of f(x)=-1/2*log_{10}(-2-x)+2 ?

The domain of f(x)=-1/2*log_{10}(-2-x)+2 is x<-2

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domain of f(x)=-1/2*log_{10}(-2-x)+2

domain

f (x) = - \frac{1}{2} \cdot lo g_{10} (- 2 - x) + 2

x < - 2

Interval Notation

(- \infty, - 2)

Solution steps

Find positive values for logs:

x < - 2

The function domain

x < - 2

f (x) = \frac{4 - x}{∣ x ∣ - 1}

\frac{1}{x ( x - 1 )}

f (x) = \frac{2 x}{5 x - 1}

\frac{x ^{2} + 7 x + 12}{x ^{2} - 3 x - 10}

What is the domain of f(x)=-1/2*log_{10}(-2-x)+2 ?
The domain of f(x)=-1/2*log_{10}(-2-x)+2 is x<-2