What is the domain of f(x)=sqrt(2x+1)+sqrt(2-x) ?

The domain of f(x)=sqrt(2x+1)+sqrt(2-x) is -1/2 <= x<= 2

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domain of f(x)=sqrt(2x+1)+sqrt(2-x)

domain

f (x) = 2 x + 1 + 2 - x

- \frac{1}{2} \leq x \leq 2

Interval Notation

[- \frac{1}{2}, 2]

Solution steps

Find non-negative values for radicals:

- \frac{1}{2} \leq x \leq 2

The function domain

- \frac{1}{2} \leq x \leq 2

f (x) = \frac{2 x - 7}{2 x}

y = 3 + x

f (x) = sin (x^{3})

y = - 3 x - 3 - 2

f (x) = \frac{4 x}{2 x - 3}

What is the domain of f(x)=sqrt(2x+1)+sqrt(2-x) ?
The domain of f(x)=sqrt(2x+1)+sqrt(2-x) is -1/2 <= x<= 2