palosbalos
palosbalos palosbalos
  • 20-01-2021
  • Mathematics
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[Function Composition] could someone help me with this answers or show work either is fine

Function Composition could someone help me with this answers or show work either is fine class=

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jacobEwing
jacobEwing jacobEwing
  • 20-01-2021

Answer:

f(g(t)) = 2t² + 1

Step-by-step explanation:

You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):

[tex]f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1[/tex]

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