Find Gof and the Domain of Composite Function $f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

question 47

Multiple Choice

Find gof and the domain of composite function.
$f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

• A) \(( x + 2 ) ^ { 2 }\)
• Domain of gof: all real numbers \(x\)
• B) \(( x - 2 ) ^ { 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• C) \(\sqrt { x ^ { 2 } + 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• D) \(\sqrt { ( x - 2 ) ^ { 2 } }\)
• Domain of gof: all real numbers \(x\)
• E) \(\sqrt { ( x + 2 ) ^ { 2 } }\)
• Domain of \(g \circ f :\) all real numbers \(x\)

---

Definitions:

Capital Investment Proposals

Suggestions for strategic investments in long-term assets, projects, or ventures aimed at enhancing a company's growth and profitability.

Fixed Asset

Long-term tangible property that a firm owns and uses in its operations to generate income, not expected to be consumed or converted into cash in the short term.

Useful Life

An estimate of the lifespan of an asset during which it is expected to remain productive or useful for the purposes it was acquired.

Residual Value

The estimated value that an asset is expected to have at the end of its useful life, after depreciation has been taken into account.