Find the Inverse of the Function $$f ( x ) = e ^ { 7 x }$$

question 44

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = e ^ { 7 x }$$

• A) \(f ^ { - 1 } ( x ) = 7 \ln x\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 7 } \ln \mathrm { x }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \ln \left( \frac { 1 } { 7 } \mathrm { x } \right)\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - 7 \ln \mathrm { x }\)

---

Definitions:

Generativity

In Erikson's theory of psychosocial development, a stage where adults seek to contribute to society and support future generations.

Ego Integrity

A sense of completeness and fulfillment in life reached in old age, according to Erik Erikson's theory of psychosocial development.

Middle-Aged

A life stage typically between the ages of 40 and 65, characterized by transitions in physical, psychological, and social domains.

Identity Moratorium

A stage in identity formation where an individual explores various options but has yet to make a firm commitment to any specific identity.