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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: 5 years ago

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

Select the possible function rules of

$f(x)$ and

$g(x)$ if

$(f@g)(x) = x^2 - 4$ . Choose all correct answers.

$f(x) = ln(x), \ \ g(x) = e^(x^2-4)$
$f(x) = ln(x^2), \ \ g(x) = e^(1/2 x^2 -2)$
$f(x) = ln(x^2 - 8), \ \ g(x) = e^(1/2 x^2 + 2)$
$f(x) = e^x - 8, \ \ g(x) = ln(x^2+4)$