What is the domain of f(t)=ln(sqrt(2t+5)) ?

The domain of f(t)=ln(sqrt(2t+5)) is t>-5/2

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domain of f(t)=ln(sqrt(2t+5))

domain

f (t) = ln (2 t + 5)

t > - \frac{5}{2}

Interval Notation

(- \frac{5}{2}, \infty)

Solution steps

Find positive values for logs:

t > - \frac{5}{2}

The function domain

t > - \frac{5}{2}

f (x) = \frac{1}{2} sin (\frac{1}{2}) (x + \frac{π}{4})

\frac{2 ln ( x ^{3} + 1 )}{3} + \frac{1}{2}

\frac{8}{x + 3}

f (x) = \frac{( 6 x - 7 )}{x ^{2} + 5 x - 6}

f (x) = \frac{3 - x + 1}{x - 8}

What is the domain of f(t)=ln(sqrt(2t+5)) ?
The domain of f(t)=ln(sqrt(2t+5)) is t>-5/2