combination and composition 1

Question

Algebraically show that each of the given combinations are equivalent to the given functions.  is equivalent to  given: ;  ; 

h

 

 

 

 

 

Answer 1

h(x)=2x−3 ; j(x)=−4x+6 ; k(x)=−2x+3

h(x)+j(x)=()+()=

2x-3-4x+6=-2x+3 correct.

Answer 2

It really is that simple.

h(x) + j(x) = (2x - 3) + (-4x + 6) = 2x - 3 - 4x + 6 = -2x + 3 = k(x)