Solve the Problem $f ( x ) = \sqrt { x ^ { 2 } - 9 x + 45 } - 1$

question 36

Multiple Choice

Solve the problem.
-For the function $f ( x ) = \sqrt { x ^ { 2 } - 9 x + 45 } - 1$ , find all values $x$ for which $f ( x ) = 4$ .

• A) \(\{ 5,4 \}\)
• B) \(\{ 5 , - 4 \}\)
• C) \(\{ - 5 , - 4 \}\)
• D) \(\varnothing\)

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Definitions:

Inverse Relationship

A situation in which two variables move in opposite directions, meaning that as one variable increases, the other decreases, and vice versa.

Quantity Rises

An increase in the amount or number of a particular good or service that is available or produced.

Price Ceiling

A government-imposed limit on how high a price can be charged for a product, commodity, or service.

Price Floor

A government or regulatory imposed minimum price for goods or services, intended to prevent prices from falling too low.