Answer
To evaluate the function for the input values, we substitute each value for ‘x’ in the equation g(x) = -2x¬≤ + 3x – 5. Starting with g(-2): g(-2) = -2(-2)¬≤ + 3(-2) – 5 This simplifies to: g(-2) = -2(4) – 6 – 5 Which leads to: g(-2) = -8 – 6 – 5 Hence, g(-2) = -19. Now for g(0): g(0) = -2(0)¬≤ + 3(0) – 5 This simplifies to: g(0) = -2(0) – 5 Thus, g(0) = -5. Finally, we evaluate g(3): g(3) = -2(3)¬≤ + 3(3) – 5 Simplifying this gives: g(3) = -2(9) + 9 – 5 Which results in: g(3) = -18 + 9 – 5 So, g(3) = -14.
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