What is the domain of f(x)=(2x+1)/(sqrt(4-x)) ?

The domain of f(x)=(2x+1)/(sqrt(4-x)) is x<4

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domain of f(x)=(2x+1)/(sqrt(4-x))

domain

f (x) = \frac{2 x + 1}{4 - x}

x < 4

Interval Notation

(- \infty, 4)

Solution steps

Find non-negative values for radicals:

x \leq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x < 4

y = x^{3} - 3 x + 7

\frac{x - 8}{2 x ^{2}}

f (x) = x - 1

- 2 x + 2

5^{x}

What is the domain of f(x)=(2x+1)/(sqrt(4-x)) ?
The domain of f(x)=(2x+1)/(sqrt(4-x)) is x<4