The domain of the function g(x) = –⌊x⌋ + 3 is (a) {x| x is a real number}
The function is given as
g(x) = –⌊x⌋ + 3
The above is a step function, and the domain is the set of input values it can accept
Step functions of the given form can accept any real value of x
Hence, the domain of the function g(x) = –⌊x⌋ + 3 is (a) {x| x is a real number}
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Complete question
The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| –2 ≤ x < 5} {x| –1 ≤ x ≤ 5}
