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Given: f(t) = t + 1 and g(t) = t³ - 12t² + 2x. Find: (g o f) (-3x)

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Final answer:

To find (g o f) (-3x), substitute -3x into both functions and simplify the resulting composed function.

Step-by-step explanation:

To find (g o f) (-3x), we need to substitute the given function values into the composed function equation. First, we find f(-3x) by replacing t in f(t) = t + 1 with -3x:

f(-3x) = (-3x) + 1 = -3x + 1.

Next, we find g(f(-3x)) by replacing t in g(t) = t³ - 12t² + 2x with -3x + 1:

g(f(-3x)) = (-3x + 1)³ - 12(-3x + 1)² + 2x.

Simplifying this expression further will give us the final answer.

User Nishit Zinzuvadiya
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