Find f(x) = g(x) given that f(x) = x - 8 and g(x) =- 3x2 + 4x - 1

Step-by-step explanation:

x-8= -3x²+4x-1

3x²+x-4x=-1+8

3x²-3x=7

3x²-3x-7=0

x²-x-3.5=0

Delta = -1²-(4)(1)(-3.5)

+1+14=15

x1=-1- sqrt(15) /2(1) =2.43

x2=-1+sqrt(15)/2(1) =-1.93

I don't think it is right but i tried my best

a

step-by-step explanation:

(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