Find the Compositions F ◦ G and G ◦ F

question 100

Multiple Choice

Find the compositions f ◦ g and g ◦ f, and identify their respective domains. f (x) = x² + 9, g(x) = cos x

• A) (f ◦ g)(x) = cos(x² + 9), 0 < x (g ◦ f)(x) = cos² x + 9, 8 < x < 10
• B) (f ◦ g)(x) = cos(x² + 9), all reals (g ◦ f)(x) = cos² x + 9, all reals
• C) (f ◦ g)(x) = cos² x + 9, all reals (g ◦ f)(x) = cos(x² + 9), all reals
• D) (f ◦ g)(x) = cos² x + 9, 8 < x < 10 (g ◦ f)(x) = cos(x² + 9), 0 < x

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Definitions:

Limited Life

A concept referring to assets or entities that are not expected to operate indefinitely, having a defined period of effectiveness or existence.

Net Loss

The result when total expenses exceed total revenues during a specific period, indicating financial loss.

Organize

The process of structuring or arranging resources and tasks to achieve a specific objective efficiently.

Capital Balances

The amount of equity ownership a partner has in a partnership or an investor has in a company.