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

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

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

domain

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

3 \leq x < 8 or x > 8

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

3 \leq x < 8 or x > 8

f (x) = x 4 - x

lo g_{3} (lo g_{2} (x))

- 4 x + 6 - 15

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

f (x) = lo g_{12} (∣ 15 - 24 x ∣)

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