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Math: Composite Function Graph?
Please help!
Choose all answers that apply
A. -1 ≤ to X ≤ 3
B. 4 ≤ X ≤ 7
C. -7 ≤ X ≤ 5
1 Answer
- PuzzlingLv 71 week ago
In order to be invertible, you can't have the same y-value for any values of x in the domain. In other words, if you drew a horizontal line, it couldn't touch the graph more than once.
Given the symmetry of the graph, most of the time there are *4* input values that give the same output value.
From -1 to 3, the graph goes up and comes down and you have places where you have the same y-value.
From -7 to 5, it's even worse with it coming down, then up, then down, then up and again there are multiple places with the same y-value.
But if you restrict the graph to a portion from 4 to 7, for example, it only goes up and there are no places where you have the same y-value.
Answer:B. 4 ≤ x ≤ 7
