Question

Determinați domeniul de definiție al funcției f:D→R, f(x)=(√2-3x)+2

Answer 1

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, $f(x)=\sqrt{2-3x}+2$

we know that

The radicand of the function must be greater than or equal to zero

so

$2-3x \geq 0$

Solve the inequality for x

subtract 2 both sides

$-3x \geq -2$

Multiply by -1 both sides

$3x \leq 2$

Divide by 3 both sides

$x \leq \frac{2}{3}$

The solution is the interval ----> (-∞,2/3]

therefore

The domain is all real numbers less than or equal to two-third