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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

$f(x) = e^(x + 3)$ and

$g(x) = 1/(x-2)$ , find

$(f@g)(x)$ and state its domain.

$e^(x+1), \ \ RR$
$e^(1 \ // \ (x+1)), \ \ x != -1$
$e^((3x-5) \ // \ (x-2)), \ \ x != 2$
$1/(e^(x+3) - 2), \ \ x != ln(2) -3$