Question

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Answer 1

We make the composition of both functions:
 f (x) = x ^ 2-1
 g (x) = 2x-3
 Then:
 f (g (x)) = (2x-3) ^ 2-1
 Rewriting:
 f (g (x)) = 4x ^ 2-12x + 8
 The domain of this function is all real numbers.
 Equivalently
 x: (-inf, inf)
 answer:
 x: (-inf, inf)
 option 1.