What is the domain of f(x)=(2sqrt(x)+1)/(4x-1) ?

The domain of f(x)=(2sqrt(x)+1)/(4x-1) is 0 1/4

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domain of f(x)=(2sqrt(x)+1)/(4x-1)

domain

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

0 \leq x < \frac{1}{4} or x > \frac{1}{4}

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = \frac{1}{4}

Combine real regions and undefined points for final function domain

0 \leq x < \frac{1}{4} or x > \frac{1}{4}

f (x) = \frac{6 x + 17}{x + 7}

\frac{10 x + 24}{x ( x + 6 )}

f (x) = 49 - 36

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

f (x) = π x^{2} 3 - x^{2}

What is the domain of f(x)=(2sqrt(x)+1)/(4x-1) ?
The domain of f(x)=(2sqrt(x)+1)/(4x-1) is 0<= x< 1/4 \lor x> 1/4