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

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

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

domain

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

x < 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

y = lo g_{0.3} (- x + 3) + 1

e^{7 - x^{2}} x - 5

(0, - 5), (- 5, - 8)

f (x) = \frac{( x ^{2} - x - 30 )}{x ^{2} - 4 x}

x^{3} + 1

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