What is the domain of f(x)=log_{5}(2x+9)-2 ?

The domain of f(x)=log_{5}(2x+9)-2 is x>-9/2

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domain of f(x)=log_{5}(2x+9)-2

domain

f (x) = lo g_{5} (2 x + 9) - 2

x > - \frac{9}{2}

Interval Notation

(- \frac{9}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{9}{2}

The function domain

x > - \frac{9}{2}

\frac{x ^{2} - 36}{x - 9}

f (x) = 2 csc (4 x) - 3

f (x) = x \cdot ln (x)

3^{x} + 3

\frac{x - 5}{3 x - 6}

What is the domain of f(x)=log_{5}(2x+9)-2 ?
The domain of f(x)=log_{5}(2x+9)-2 is x>-9/2