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Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 11
Standards: HSF-BF.A.1, HSF-BF.A.1c
Author: nsharp1
Created: 2 years ago

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Functions and Relations Question

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Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

Which of the following could be the function rules for [math]f(x)[/math] and [math]g(x)[/math] if [math](f@g)(x) = sqrt(x^3-8) ?[/math] There may be more than one correct answer.
  1. [math]f(x) = sqrt(x), \ \ g(x) = x^2 - 8[/math]
  2. [math]f(x) = sqrt(x^2-8), \ \ g(x) = x[/math]
  3. [math]f(x) = sqrt(x-8), \ \ g(x) = x^3[/math]
  4. [math]f(x) = sqrt(x^3), \ \ g(x) = x-2[/math]
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