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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

For

$(f@g)(x) = e^(-x^2 + 6)$ , which of the following are possible function rules of

$f(x)$ and

$g(x) ?$ There may be more than one correct answer.

$f(x) = e^x, \ \ g(x) = -x^2 + 6$
$f(x) = e^(-x+6), \ \ g(x) = x^2$
$f(x) = e^(-x^2 - 4x + 2), \ \ g(x) = x-2$
$f(x) = x^2, \ \ g(x) = e^(-1/2x^2 + 3)$