What is the domain of f(x)= 1/2 ln(10x+5) ?

The domain of f(x)= 1/2 ln(10x+5) is x>-1/2

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domain of f(x)= 1/2 ln(10x+5)

domain

f (x) = \frac{1}{2} ln (10 x + 5)

x > - \frac{1}{2}

Interval Notation

(- \frac{1}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{1}{2}

The function domain

x > - \frac{1}{2}

\frac{x + 5}{x ^{2} - 3 x + 5}

f (x) = 4 - 5^{2 - x}

f (x) = x^{2} - 6 x + 5

f (x) = - 4.3

- 3 csc (\frac{π}{2} t) - 3

What is the domain of f(x)= 1/2 ln(10x+5) ?
The domain of f(x)= 1/2 ln(10x+5) is x>-1/2