Question 1083931


For {{{f(x) = 2-3x}}} and {{{g(x)= 3x -2}}} , find the indicated values.

1.) 
{{{f(a + b)}}}

{{{f(x) = 2-3x}}} ..........if {{{x=a+b}}}, we have

{{{f(a + b) = 2-3(a + b) }}}

{{{f(a + b) = 2-3a - 3b}}}


2.)

 {{{g(a) -g(a-b) + f(a)}}}


if {{{g(x)= 3x -2}}} and {{{x=a}}}, we have

 {{{g(a)= 3a -2}}}


{{{g(a-b) =3(a-b) -2= 3a-3b-2}}}


 {{{f(a)= 2-3a}}}

than we have:

{{{g(a) -g(a-b) + f(a)= 3a -2 -(3a-3b-2) +2-3a=cross(3a) -cross(2) -cross(3a)+3b+cross(2) +2-3a=3b-3a+2}}}