What is the domain of f(x)=sqrt((3x+1)/(x+1)-2) ?

The domain of f(x)=sqrt((3x+1)/(x+1)-2) is x = 1

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domain of f(x)=sqrt((3x+1)/(x+1)-2)

domain

f (x) = \frac{3 x + 1}{x + 1} - 2

x < - 1 or x \geq 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x < - 1 or x \geq 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x \geq 1

f (x) = x + 8 - 5

f (x) = \frac{- 6072 x + 38640}{2116}

f (x) = lo g_{8} (1 - 4 x)

f (x) = - 10

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

What is the domain of f(x)=sqrt((3x+1)/(x+1)-2) ?
The domain of f(x)=sqrt((3x+1)/(x+1)-2) is x<-1\lor x>= 1