Question

Given f(x)=x^2-6x+8 and g(x)=x-2, solve f(x)=g(x) using a table of values. Show your work.

Answer 1

X^2-6x+8 -X+2=0
X^2-7x+10=0
(X-5)(X-2)=0
Answer X= 5 and X=2

Answer 2

Answer:

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

Step-by-step explanation:

We are given two function $f(x)=x^2-6x+8$ and $g(x)=x-2$

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)