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The temperature of the atmosphere that an airplane is flying in can be found using the function T(h) =
20h + 10. The height of the same airplane at a given time can be found using the function h(t) = 2t - 1.
What is the temperature of the atmosphere as a function of time? Drag and drop the values below to
complete the function.

Respuesta :

Using a composite function, it is found that the temperature of the atmosphere as a function of time is:

T(t) = 40t - 10.

What is the composite function of T(h) and h(t)?


The composite function of T(h) and h(t) is given by:

T(t) = T(h(t)).

For this problem, the functions are given by:

  • T(h) = 20h + 10.
  • h(t) = 2t - 1.

Hence the composite function is given by:

T(t) = T(2t - 1) = 20(2t - 1) + 10 = 40t - 20 + 10 = 40t - 10.

More can be learned about composite functions at https://brainly.com/question/13502804

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