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f(x)=x² F(g)=5x-2 f°g

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Answer to a math question f(x)=x² F(g)=5x-2 f°g

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Rasheed
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110 Answers
1. Define the functions:
f(x) = x^2
g(x) = 5x - 2

2. The composition f°g means f(g(x)), which is plugging g(x) into f(x).

3. Substitute g(x) into f(x):
f(g(x)) = f(5x - 2)

4. This becomes:
(5x - 2)^2

5. Expand the square:
25x^2 - 20x + 4

Answer:
f(g(x)) = 25x^2 - 20x + 4

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