find the domain

Question

Find the domain of: f(x) √3-2x

Answer 1

f(x) = √(3 - 2x)

 

 

The number under the square-root cannot be a negative number.

 

Set the number under the square-root greater than or equal to zero.

 

 

3 - 2x ≥ 0

 

-2x ≥ -3

 

  x ≥ 3/2

 

 

Flip the sign of inequality when dividing both sides of the inequality by a negative coefficient.

 

x ≤ 3/2

 

The domain is  (-∞, 3/2].