What is the domain of f(x)=(x-8)/(sqrt(-21-7x)) ?

The domain of f(x)=(x-8)/(sqrt(-21-7x)) is x<-3

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domain of f(x)=(x-8)/(sqrt(-21-7x))

domain

f (x) = \frac{x - 8}{- 21 - 7 x}

x < - 3

Interval Notation

(- \infty, - 3)

Solution steps

Find non-negative values for radicals:

x \leq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3

- x - 3

f (x) = (x + 2) (3 x - 4)

f (x) = \frac{( 3 x + ∣ x ∣ )}{x}

y = - x + 3

y = - x + 2

What is the domain of f(x)=(x-8)/(sqrt(-21-7x)) ?
The domain of f(x)=(x-8)/(sqrt(-21-7x)) is x<-3