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

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

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

domain

f (x) = \frac{sin ( x ) + 1}{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) = lo g_{10} (\frac{x - 3}{2})

(x^{2} + x)^{2} + (x^{2} + x)

2 x + x^{2}

f (x) = 5 x^{2} + 9 x - 8

\frac{8 x}{9 x - 4}

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