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09-03-2020
Mathematics

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If f(x) = 5^x2 - 3 and g(x) = x2 - 4x - 8, find (f - g)(x).

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jimrgrant1 jimrgrant1

09-03-2020

Answer:

4x² + 4x + 5

Step-by-step explanation:

Note that (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

= 4x² + 4x + 5

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