Find the Inverse Function Of $f$ $f ( x ) = x ^ { 9 } - 2$

question 10

Multiple Choice

Find the inverse function of $f$ .
$f ( x ) = x ^ { 9 } - 2$

• A) \(f ^ { - 1 } ( x ) = - \sqrt [ 9 ] { x } - 2\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x } - 2\)
• C) \(f ^ { - 1 } ( x ) = - \sqrt [ 9 ] { x - 2 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x + 2 }\)
• E) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x } + 2\)

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Definitions:

Uterine Glands

Glands located in the endometrium of the uterus, which secrete substances essential for the sustenance of a pregnancy.

Female Reproductive Cycle

A monthly cycle that prepares the female body for pregnancy, characterized by phases including menstruation, the follicular phase, ovulation, and the luteal phase.

Proliferative Phase

A phase of the menstrual cycle in which the lining of the uterus thickens in preparation for potential pregnancy, driven by the hormone estrogen.

Menstrual Phase

The phase in the menstrual cycle where the uterine lining is shed, resulting in menstrual bleeding.