What is the domain of f(x)= 1/(sqrt(4x-11)) ?

The domain of f(x)= 1/(sqrt(4x-11)) is x> 11/4

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domain of f(x)= 1/(sqrt(4x-11))

domain

f (x) = \frac{1}{4 x - 11}

x > \frac{11}{4}

Interval Notation

(\frac{11}{4}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{11}{4}

Find undefined (singularity) points:

x = \frac{11}{4}

Combine real regions and undefined points for final function domain

x > \frac{11}{4}

f (x) = 2 - 3 x^{2}

f (x) = 6 x - 10

\frac{1}{4} x^{3} - 5

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

f (x) = 2 x^{2} + 5 x + 1

What is the domain of f(x)= 1/(sqrt(4x-11)) ?
The domain of f(x)= 1/(sqrt(4x-11)) is x> 11/4