What is the domain of f(x)= 3/(4sqrt(5/2+3/2 x)) ?

The domain of f(x)= 3/(4sqrt(5/2+3/2 x)) is x>-5/3

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domain of f(x)= 3/(4sqrt(5/2+3/2 x))

domain

f (x) = \frac{3}{4 \frac{5}{2} + \frac{3}{2} x}

x > - \frac{5}{3}

Interval Notation

(- \frac{5}{3}, \infty)

Solution steps

Find non-negative values for radicals:

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

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine real regions and undefined points for final function domain

x > - \frac{5}{3}

(0, 1), (4, 4)

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

f (x) = 25 x + 200

\frac{1}{2 a}

\frac{x ^{2} - 1}{x + 1}

What is the domain of f(x)= 3/(4sqrt(5/2+3/2 x)) ?
The domain of f(x)= 3/(4sqrt(5/2+3/2 x)) is x>-5/3