sat suite question viewer
Advanced Math
/ Nonlinear functions
Difficulty: Hard
The function is defined by the given equation. If , which of the following equations defines function ?
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Explanation
Choice A is correct. It's given that and . Substituting for in yields . Substituting for in this equation yields . Using the properties of exponents, the function can be rewritten as , which is equivalent to , or . Therefore, of the given choices, an equation that defines function is .
Choice B is incorrect. This equation defines function if , not .
Choice C is incorrect. This equation defines function if , not .
Choice D is incorrect and may result from conceptual or calculation errors.