If f of x is equal to x squared minus 1 and g of x is equal to 2 x minus 3 , what is the domain of open paren f circ g close paren times x ?

The composition is f(g(x)) = (2x − 3)² − 1. This is a polynomial expression, so it is defined for every real value of x; there are no denominators or even-root restrictions. Therefore, the domain is (−∞, ∞), choice C.

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