What we are given:
r( x ) = x - 3
s( x ) = 4x²
We have to find:
( s + r )( x ) = ( x - 3 + 4x² )
→ 4x² + x - 3
( s - r )( x ) = ( x - 3 - 4x² )
→ -4x² + x - 3
For the last function, I am confused whether it is a multiplication or composite function, so I am going to do both.
Multiplication:
( x - 3 ( 4x² ))( 2 )
( 4x³ - 12x² )( 2 )
4(2)³ - 12(2)²
4(8) - 12(4)
32 - 48
→ -4
Composite function:
r(s(x))(2) = r(4x²) = 4x² - 3 = 4(2)² - 3 = 4(4) - 3 = 16 - 3
→13
