R(x)=x-3 s(x)= 4x²write the expressions for (s+r)(x) and (s-r(x) and evaluate (s. r)(2)

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

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: