Find the Inverse Function F-1 of the Function F $$f ( x ) = 5 \tan ( 10 x - 9 )$$

question 225

Multiple Choice

Find the inverse function f-1 of the function f.
- $$f ( x ) = 5 \tan ( 10 x - 9 )$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 5 \tan ^ { - 1 } ( 10 \mathrm { x } - 9 )\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 5 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 10 } \right) + 9 \right]\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 10 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 5 } \right) - 9 \right]\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 10 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 5 } \right) + 9 \right]\)

Define key terms in sociology research methodology, such as sampling, generalization, research question, hypotheses, variables, validity, and reliability.

Explain the concepts of inductive and deductive reasoning in the development of sociological theories.

Discuss the ethical considerations and challenges in sociological research, including objectivity and the Hawthorne effect.

Illustrate how sociological research can address real-world problems, demonstrating its validity as a scientific discipline.

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