What is the domain of f(x)=sqrt(3-2x)-4 ?

The domain of f(x)=sqrt(3-2x)-4 is x<= 3/2

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domain of f(x)=sqrt(3-2x)-4

domain

f (x) = 3 - 2 x - 4

x \leq \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{3}{2}

The function domain

x \leq \frac{3}{2}

- 3 x + 9

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

f (x) = \frac{10 - 3 x - x ^{2}}{∣ x - 2 ∣}

f (x) = - 36, 0 \leq x \leq 360

What is the domain of f(x)=sqrt(3-2x)-4 ?
The domain of f(x)=sqrt(3-2x)-4 is x<= 3/2