3 years ago

[Function Composition] could someone help me with this answers or show work either is fine

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

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)):

$f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1$

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Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

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Step 1: Simplify both sides of the equation.

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