I need help with several math problems it says given f(x)=2-3x and g (x) = -x-1 Find the following and Simplify when possible. 1. (f-g) (-3) 2. (f-g) (x) 3. (f × g) (-1) d. (f ×g) (x) E. f (x-1) F. f (x-1)-f (1) G. g(x+2)-g (2) h. g (x+h) - g(x)

Step-by-step explanation:

Given:

1.

therefore : means that we are substituting - 3 for x , that is

2.

3. ( x =

   ( x =

   ( x =

   ( x =

Therefore :

( x =

( x

( x

4.  ( x (x) =

5. , this means that we will substitute for   in , that is

=

=

=

6.   =

    =

    =

7.

Therefore :

=

=

8.

Therefore :

= -

=

=

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

2425

step-by-step explanation: