What is the domain of g(x)=sqrt(x+4)-\sqrt[4]{2-x} ?

The domain of g(x)=sqrt(x+4)-\sqrt[4]{2-x} is -4<= x<= 2

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domain of g(x)=sqrt(x+4)-\sqrt[4]{2-x}

domain

- 4 \leq x \leq 2

Interval Notation

[- 4, 2]

Solution steps

Find non-negative values for radicals:

- 4 \leq x \leq 2

The function domain

- 4 \leq x \leq 2

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

f (x) = (3 - 2 x)

f (x) = \frac{3}{x ^{2} + 2 x - 35}

f (x) = \frac{x - 3}{x + 4}

1 + \frac{1}{x} - \frac{1}{x ^{2}}

What is the domain of g(x)=sqrt(x+4)-\sqrt[4]{2-x} ?
The domain of g(x)=sqrt(x+4)-\sqrt[4]{2-x} is -4<= x<= 2