Answers 1
Answer:
4a
Step-by-step explanation:
g(x) = x² + 5
g(a + 1) = (a + 1)² + 5
= (a)² + (1) + 2(a)(1) + 5
= a² + 1 + 2a + 5
= a² + 2a + 6
g(a - 1) = (a - 1)² + 5
= (a)² + (1)² - 2(a)(1) + 5
= a² + 1 - 2a + 5
= a² - 2a + 6
g(a + 1) - g(a - 1)
= (a² + 2a + 6) - (a² - 2a + 6)
= a² + 2a + 6 - a² + 2a - 6
= a² - a² + 2a + 2a + 6 - 6
= 4a
And with that, have a great day!
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