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Algebra
Question

Suppose that the functions \( r \) and \( s \) are...

Suppose that the functions \( r \) and \( s \) are defined for all real numbers \( x \) as follows. 

\( r ( x ) = 3 x + 2 \) 

\( s ( x ) = x - 2 \) 

Write the expressions for \( ( r + s ) ( x ) \) and \( ( r \cdot s ) ( x ) \) and evaluate \( ( r - s ) ( 1 ) \) 

\( ( r + s ) ( x ) = \square \) 

\( ( r \cdot s ) ( x ) = \square \) 

\( ( r - s ) ( 1 ) = \square\) 

Answer

(r+s)(x)=4x

(r*s)(x)=\(3x^{2}- 4x- 4\)

(r-s)(1)=6

Solution
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