Find the Domain of the Composite Function F $f ^ { \circ } g$

question 486

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \frac { x } { x + 7 } ; \quad g ( x ) = \frac { 7 } { x + 5 }$$

• A) \(\{ x \mid x \neq - 5 , x \neq - 6 \}\)
• B) \(\{ x \mid x \neq 0 , x \neq - 5 , x \neq - 6 \}\)
• C) \(\{ x \mid x\) is any real number \(\}\)
• D) \(\{ x \mid x \neq - 5 , x \neq - 7 \}\)

Use the change-of-base formula to evaluate logarithms.

Apply properties of logarithms to simplify or evaluate expressions.

Understand the dynamics and theories behind the structure of interest rates and yield curves.

Comprehend the distinction between stocks and bonds and the inverse relationship between stock prices and interest rates.

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