Question

Determine the domain of the function. f as a function of x is equal to the square root of two minus x.

Answer 1

Answer:

A. x <= 2

Step-by-step explanation:

The domain of a real function should be all real numbers. In

f(x) = sqrt(2-x)

we need 2-x to be non-negative, therefore

2-x >= 0

which implies

x <= 2

Answer 2

Answer:

$\Huge \boxed{{x\leq 2}}$

Step-by-step explanation:

The function is given,

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

The domain of a function are all possible values of x.

There are restrictions for the value of x.

2 - x cannot be equal to a negative number, because the square root of a negative number is undefined. 2 - x has to equal to 0 or be greater than 0.

$2-x\geq 0$

$-x\geq -2$

$x\leq 2$

The domain of the function is x ≤ 2.