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murzikaleks [220]
2 years ago
6

Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined,

enter UNDEFINED.)
g(t) = 5t^2 − 8t + 3

Mathematics
2 answers:
Licemer1 [7]2 years ago
3 0

Answer:

<u>Given:</u>

  • g(t) = 5t² − 8t + 3

Find the following

<u>g(2)</u>

  • g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7

<u>g(t - 2) </u>

  • g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39

<u>g(t) - g(2)</u>

  • g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4
amid [387]2 years ago
3 0

g(t)=5t^2-8t+3

\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3

\\ \sf\longmapsto g(2)=5(4)-16+3

\\ \sf\longmapsto g(2)=20-13

\\ \sf\longmapsto g(2)=7\checkmark

And

\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3

\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3

\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19

\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark

And

\\ \sf\longmapsto g(t)-g(2)

\\ \sf\longmapsto 5t^2-8t+3-7

\\ \sf\longmapsto 5t^2-8t-4

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