The table shows some values of f(x) and g(x) for different values of x:
x | f(x) = 9x + 7 | g(x) = 5x
−2 | −11 |
−1 | −2 |
0 | | 1
1 | |5
2 | |
complete the chart and determine the solution of the equation f(x) = g(x).
x = −1
x = 0
x = 2
x = 25

Part 1) see the explanation

Part 2)

Step-by-step explanation:

Part 1) we have

Find the value of f(x) for different values of x

For x=-2 ---> --->

For x=-1 ---> --->

For x=0 ---> --->

For x=1 ---> --->

For x=2 ---> --->

For x=-2 ---> ---->

For x=-1 ---> ---->

For x=0 ---> ---->

For x=1 ---> ---->

For x=2 ---> ---->

Part 2) determine the solution of the equation f(x) = g(x)

equate f(x) and g(x)

Remember that

For x=2

therefore

x=2 is a solution of the system of equations

x intercept = (-1,0)   (4,0)