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๐‘”(๐‘ก)={2๐‘ก2+2๐‘กโˆ’24๐‘กโˆ’3๐‘–๐‘“ย ๐‘กโ‰ 3๐‘๐‘–๐‘“ย ๐‘ก=3g(t)={ tโˆ’32t 2 +2tโˆ’24โ€‹ bโ€‹ ifย tโ‰ 3ifย t=3โ€‹ A.14B.3C.7D.None of theseE.0

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๐‘”(๐‘ก)={2๐‘ก2+2๐‘กโˆ’24๐‘กโˆ’3๐‘–๐‘“ย ๐‘กโ‰ 3๐‘๐‘–๐‘“ย ๐‘ก=3g(t)={ tโˆ’32t 2 +2tโˆ’24โ€‹ bโ€‹ ifย tโ‰ 3ifย t=3โ€‹ A.14B.3C.7D.None of theseE.0
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Solution 1

It seems like there's a bit of confusion in your question as the function g(t) is defined twice with different expressions. However, if we're looking for the value of g(t) when t=3, we should use the second definition.

The second definition of g(t) is: g(t) = t - 3/2t^2 + 2t - 24

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๐‘”(๐‘ก)={2๐‘ก2+2๐‘กโˆ’24๐‘กโˆ’3๐‘–๐‘“ย ๐‘กโ‰ 3๐‘๐‘–๐‘“ย ๐‘ก=3g(t)={ tโˆ’32t 2 +2tโˆ’24โ€‹ bโ€‹ ifย tโ‰ 3ifย t=3โ€‹ A.14B.3C.7D.None of theseE.0

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