Find the Function $f \cdot g$ And Its Domain If $f ( x ) = \sqrt { x + 7 }$

question 143

Multiple Choice

Find the function $f \cdot g$ and its domain if $f ( x ) = \sqrt { x + 7 }$ and $g ( x ) = \sqrt { x - 7 }$ .

• A)
• \(\sqrt { x ^ { 2 } - 49 }\)
• \(D = [ 7 , \infty )\)
• B) \(\sqrt { x ^ { 2 } - 49 }\)
• \[D = [ - 7 , \infty )\]
• C)
• \[\begin{array} { l }
• \sqrt { x ^ { 2 } + 49 } \\
• D = [ - 7 , \infty )
• \end{array}\]
• D) \(\sqrt { x ^ { 2 } + 49 }\)
• \[D = [ 7 , \infty )\]

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Nominal Growth Rate

The rate at which an economy or financial metric grows over time, including inflation, without adjusting for the latter.

Inflation Rate

The percentage increase in the price level of goods and services in an economy over a period of time, reflecting the purchasing power of currency.

Government Deficit

Government Deficit occurs when a government's expenditures exceed its revenues within a specific fiscal period, leading to borrowing or using saved reserves.

Risk-free Interest Rate

The rate of return on an investment with no risk of financial loss, often associated with government bonds.