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

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

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

domain

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

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

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

4 x^{2} - 3

f (x) = - 3 x - 6

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

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

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