For the Pair of Functions, Find the Indicated Sum, Difference $f ( x ) = \sqrt { 2 x + 4 } , g ( x ) = \sqrt { 25 x - 16 }$

question 61

Short Answer

For the pair of functions, find the indicated sum, difference, product, or quotient.
- $f ( x ) = \sqrt { 2 x + 4 } , g ( x ) = \sqrt { 25 x - 16 }$
Find (fg)(x)
A) (2 x+4)(5 x-4)
B) $( 5 x - 4 ) ( \sqrt { 2 x + 4 } )$
C) $( \sqrt { 2 x + 4 } ) ( \sqrt { 25 x - 16 } )$
D) (2 x+4)(25 x-16)

• A) (2 x+4)(5 x-4)
• B) \(( 5 x - 4 ) ( \sqrt { 2 x + 4 } )\)
• C) \(( \sqrt { 2 x + 4 } ) ( \sqrt { 25 x - 16 } )\)
• D) (2 x+4)(25 x-16)

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Definitions:

Factor

A number that divides another number without leaving a remainder.

Factor

A number or algebraic expression that divides another number or expression evenly—i.e., without leaving a remainder.

Missing

Something that is lost or absent, especially a piece of information that is not available.

Factoring

The process of breaking down an expression into a product of simpler expressions, often used to simplify expressions or solve equations.