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

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

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

domain

f (x) = - 2 x + 3

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}

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

arctan (tan (θ))

2 y = 3 x + 7

f (x) = \frac{3 x ^{2}}{x ^{2} - 1}

f (x) = - 6 sin (3 x + \frac{π}{2})

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