What is the domain of f(x)=log_{10}(sqrt(2x+7)) ?

The domain of f(x)=log_{10}(sqrt(2x+7)) is x>-7/2

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domain of f(x)=log_{10}(sqrt(2x+7))

domain

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

x > - \frac{7}{2}

Interval Notation

(- \frac{7}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{7}{2}

The function domain

x > - \frac{7}{2}

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

f (x) = - 4 x + 4

\frac{1}{3 x ^{7}}

y = \frac{3 ln ^{2} ( x )}{x}

What is the domain of f(x)=log_{10}(sqrt(2x+7)) ?
The domain of f(x)=log_{10}(sqrt(2x+7)) is x>-7/2