What is the domain of f(x)=(x^4)/(sqrt(2-x)) ?

The domain of f(x)=(x^4)/(sqrt(2-x)) is x<2

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domain of f(x)=(x^4)/(sqrt(2-x))

domain

f (x) = \frac{x ^{4}}{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

(- 4, 3), (1, - 3)

lo g_{10} (5 x)

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

f (x) = arcsin (6 x^{2} - 1 + ∣ x ∣)

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

What is the domain of f(x)=(x^4)/(sqrt(2-x)) ?
The domain of f(x)=(x^4)/(sqrt(2-x)) is x<2