9
AssignmentMultiple Choice

Function Inverses

Question 9 • FL-1200330-Algebra 2 Sem 1 - Flex

Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

Answer
A
g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}
B
g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}
C
g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}
D
g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Explanation

To find an inverse relation, switch the coordinates in every ordered pair: (8, 3) becomes (3, 8), and (4, 1) becomes (1, 4). Likewise, (0, −1) becomes (−1, 0), and (−4, −3) becomes (−3, −4). These pairs match choice D.

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