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

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

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

domain

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

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

\frac{c}{x}

f (x) = \frac{1}{- 5 x - 15}

\frac{X + 2}{9 - X}

f (x) = \frac{x + 5}{1 - 2 x}

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

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