3. Given f(x)=x^2-6x+8 and g(x)=x-2, solve f(x)= g(x) using a table of values. Show the tables and explain how you identified the solutions for the equation

Answer;

X^2-6x+8 -X+2=0

X^2-7x+10=0

(X-5)(X-2)=0

Answer X= 5 and X=2

Step-by-step explanation:

The solution of system of equation (2,0) and (5,3)

Step-by-step explanation:

We are given two function  and

We need to solve for f(x)=g(x)

We will make table of f(x) and g(x) and then check the solution

We will take some random value of x and then find value of f(x) and g(x) at different value of x. Below is table.

 x       f(x)          g(x)

 0       8             -2

 2       0              0

 4       0              2

 5       3              3

In table,

At x=2 , f(2)=g(2)=0

At x=5, f(5)=g(5)=3

Please see the attachment for graph.

Solution of system of equation (2,0) and (5,3)

Because both f(x) and g(x) intersect at x=2 and x=5.

Hence, The solution of system of equation (2,0) and (5,3)