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

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

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

domain

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

x > \frac{4}{3}

Interval Notation

(\frac{4}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{4}{3}

Find undefined (singularity) points:

x = \frac{4}{3}

Combine real regions and undefined points for final function domain

x > \frac{4}{3}

y = x^{2} + 4 x

f (x) = 100 - x^{2}

f (x) = e^{x^{2} - 6 x + 8}

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

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

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