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

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

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

domain

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

x \leq - 3 or x > - 2

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x > - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \leq - 3 or x > - 2

\frac{x}{coth ( x - 1 )}

ln ∣ x ∣

f (x) = \frac{9 - x ^{2}}{x ^{2} + 7 x + 10}

f (x) = 1 - 2 + x

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

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