What is the domain of f(x)=log_{10}(sqrt(2x+3)) ?

The domain of f(x)=log_{10}(sqrt(2x+3)) is x>-3/2

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domain of f(x)=log_{10}(sqrt(2x+3))

domain

f (x) = lo g_{10} (2 x + 3)

x > - \frac{3}{2}

Interval Notation

(- \frac{3}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{3}{2}

The function domain

x > - \frac{3}{2}

g (x) = 4 - x^{2}

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

f (x) = lo g_{10} (x - 6)

\frac{6}{7 + x}

f (x) = \frac{10}{( 4 - x )}

What is the domain of f(x)=log_{10}(sqrt(2x+3)) ?
The domain of f(x)=log_{10}(sqrt(2x+3)) is x>-3/2