grace7484

06.11.2020 • 

Mathematics

Ashley started the year with 45 comic books. Each month, she adds 5 more comic books to her collection. Which table correctly represents y, the number of comic books in her collection, after x months? A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 5, 50, 95, 140. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 45, 50, 55, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 46, 47, 48. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 90, 135, 180.

Ответ:

Gattuso

14.04.2021

Mathematics

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Hello!

The given equation can be rewritten to read as follows:

(f · g)(x) = f(g(x))

In other words, insert the given value of g(x) in place of the variable found in f(x) as follows:

f(5x² – 3) = 2(5x² – 3) – 2

Now simplify the right side of the equation:

f(5x² – 3) = 10x² – 6 – 2

Combine like terms:

f(5x² – 3) = 10x² – 8

We have now proven that (f · g)(x) is equal to 10x² – 8.

I hope this helps!

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