What is the domain of sqrt(3x-x^2)+(28)/(x-10)+5x ?

The domain of sqrt(3x-x^2)+(28)/(x-10)+5x is 0<= x<= 3

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domain of sqrt(3x-x^2)+(28)/(x-10)+5x

domain

3 x - x^{2} + \frac{28}{x - 10} + 5 x

0 \leq x \leq 3

Interval Notation

[0, 3]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 3

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

0 \leq x \leq 3

x + 17

\frac{x}{x - 8}

g (x) = x^{2} - 3 x

f (x) = - 8 x + 3

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

What is the domain of sqrt(3x-x^2)+(28)/(x-10)+5x ?
The domain of sqrt(3x-x^2)+(28)/(x-10)+5x is 0<= x<= 3