What is the domain of f(x)=sqrt(2x+6)+sqrt(2-x) ?

The domain of f(x)=sqrt(2x+6)+sqrt(2-x) is -3<= x<= 2

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domain of f(x)=sqrt(2x+6)+sqrt(2-x)

domain

f (x) = 2 x + 6 + 2 - x

- 3 \leq x \leq 2

Interval Notation

[- 3, 2]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 2

The function domain

- 3 \leq x \leq 2

f (x) = 30 - 4 x + 2 x^{2}

f (x) = 6 9 - 8 x + 7

\frac{x ^{2} - 2 x}{x ^{2} + x - 6}

f (x) = \frac{2 x + 5}{3 - x}

2 x - x^{3}

What is the domain of f(x)=sqrt(2x+6)+sqrt(2-x) ?
The domain of f(x)=sqrt(2x+6)+sqrt(2-x) is -3<= x<= 2