Answer:
The domain is all real numbers less than or equal to two-third
Step-by-step explanation:
The question in English is
Determine the domain of the function f :D→R, [tex]f(x)=\sqrt{2-3x}+2[/tex]
we know that
The radicand of the function must be greater than or equal to zero
so
[tex]2-3x \geq 0[/tex]
Solve the inequality for x
subtract 2 both sides
[tex]-3x \geq -2[/tex]
Multiply by -1 both sides
[tex]3x \leq 2[/tex]
Divide by 3 both sides
[tex]x \leq \frac{2}{3}[/tex]
The solution is the interval ----> (-∞,2/3]
therefore
The domain is all real numbers less than or equal to two-third
