Question 9 • 26/27 ALGEBRA II A
A function has an inverse that is also a function when the original function is one-to-one. For f(x) = 2x − 3, different x-values produce different outputs because its slope is nonzero, so f is one-to-one. Therefore, choice B, “f(x) is a one-to-one function,” explains why its inverse relation is a function.
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