Using inverse function concepts, it is found that the domains that make the function invertible are: [tex]t \in [0, 2.5][/tex] of [tex]t \in [2.5, 5][/tex].
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- A function is invertible if each output is related to only one value of the input.
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- In the graph given in this question, other than the maximum height at [tex]t = 2.5[/tex] seconds, all outputs are related to two input values.
- To be invertible, the domain has to be divided at the half-way point, either between 0 and 2.5 seconds, or between 2.5 seconds and 5 seconds. This way, each output will be related to only one input.
Thus, the domains that make the function invertible are: [tex]t \in [0, 2.5][/tex] of [tex]t \in [2.5, 5][/tex].
A similar problem is given at https://brainly.com/question/13160937
