Express the Given Function as a Composite of Functions F $g ( x ) = \sqrt { x }$

question 110

Multiple Choice

Express the given function as a composite of functions f and g such that y = f(g(x) ) .
-Let $g ( x ) = \sqrt { x }$ . Find a function $y = f ( x )$ so that $( f \circ g ) ( x ) = | x |$ .

• A) \(f ( x ) = \frac { 1 } { x ^ { 2 } }\)
• B) \(f ( x ) = x ^ { 2 }\)
• C) \(f ( x ) = x\)
• D) \(f ( x ) = \frac { 1 } { x }\)

---

Definitions:

Metric Equivalent

Metric equivalent is the corresponding value of a measurement expressed within the metric system, used for converting units like inches to centimeters.

Microgram

A unit of mass equal to one millionth of a gram, commonly used in medicine and science to measure small weights and doses.

Volume

The amount of space an object, such as a drug, occupies.

Drug

A substance used to diagnose, treat, cure, or prevent diseases in humans or animals, often regulated by health authorities.