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What is the domain of the function f (x) = 2
O A.
O B.
O C.
O D.
all real number except 9
all real numbers except 3 and -3
all positive real numbers
all real numbers except 5 and 9

User Dragonsoul
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1 Answer

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The domain of a function refers to the set of all values of the independent variable (usually denoted by x) for which the function is defined.

For the function f(x) = 2, the expression is defined for all real values of x. Therefore, the domain of f(x) is all real numbers.

If the function was f(x) = 2 / (x - 9), then the expression is undefined for x = 9. Therefore, the domain of f(x) would be all real numbers except 9.

If the function was f(x) = 2 / (x - 3)(x + 3), then the expression is undefined for x = 3 and x = -3. Therefore, the domain of f(x) would be all real numbers except 3 and -3.

If the function was f(x) = sqrt(2x - 5), then the expression is only defined for values of x that make the argument of the square root non-negative. Therefore, the domain of f(x) would be all real numbers such that 2x - 5 >= 0, which simplifies to x >= 5/2.

Therefore, without more information about the function, it is impossible to determine its domain.

User Craastad
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