Determine the domain of the function. f as a function of x is equal to the square root of two minus x. x ≤ 2
All real numbers
x > 2
All real numbers except 2

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

Step-by-step explanation:

The function is given,

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.

The domain of the function is x ≤ 2.

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step-by-step explanation: