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}

\frac{3}{2} x + 3

\frac{x}{5 x - 2}

f (x) = x + 2 x + 6 = 9

- \frac{1}{3} x + 5

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