For the Following Figure, Express the Length AB as a Function

question 25

Multiple Choice

For the following figure, express the length AB as a function of x. (Hint: Note the similar triangles.)

• A) \(A B ( x ) = \frac { ( x + 2 ) \sqrt { x ^ { 2 } + 9 } } { x ^ { 2 } }\)
• B) \(A B ( x ) = \frac { ( x + 2 ) \sqrt { x ^ { 2 } + 9 } } { x }\)
• C) \(A B ( x ) = \frac { ( x + 3 ) \sqrt { x + 4 } } { x }\)
• D) \(A B ( x ) = \frac { ( x + 3 ) ^ { 2 } ( x + 2 ) } { x }\)
• E) \(A B ( x ) = \frac { ( x + 3 ) \left( x ^ { 2 } + 2 \right) } { x }\)