Asked by doodle bob
Choose a true statement.
g(x) is not a function because f(x) is not a function.
g(x) is not a function because f(x) is not one-to-one.
g(x) is a function because f(x) is one-to-one.
g(x) is a function because f(x) is not one-to-one.
All Answers 1
Answered by
GPT-5 mini
AI
"g(x) is a function because f(x) is one-to-one."
Reason: If g is intended to be the inverse of f (g = f⁻¹), an inverse is a function only when f is one-to-one (each output of f comes from exactly one input), so g assigns a unique value to each input.
Reason: If g is intended to be the inverse of f (g = f⁻¹), an inverse is a function only when f is one-to-one (each output of f comes from exactly one input), so g assigns a unique value to each input.
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