Question

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

Answer 1

C) x=2

Explanation:

i got it right on my test in flvs :)

Answer 2

Part 1) see the explanation

Part 2)
`x=2`

Explanation:

Part 1) we have

`f(x)=9x+7`

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

For x=-2 --->
`f(-2)=9(-2)+7` --->
`f(-2)=-11`

For x=-1 --->
`f(-1)=9(-1)+7` --->
`f(-1)=-2`

For x=0 --->
`f(0)=9(0)+7` --->
`f(0)=7`

For x=1 --->
`f(1)=9(1)+7` --->
`f(1)=16`

For x=2 --->
`f(2)=9(2)+7` --->
`f(2)=25`

`g(x)=5^x`

For x=-2 --->
`g(-2)=5^(-2)` ---->
`g(-2)=1/25`

For x=-1 --->
`g(-1)=5^(-1)` ---->
`g(-1)=1/5`

For x=0 --->
`g(0)=5^(0)` ---->
`g(0)=1`

For x=1 --->
`g(1)=5^(-1)` ---->
`g(1)=5`

For x=2 --->
`g(2)=5^(2)` ---->
`g(2)=25`

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

`f(x)=9x+7`

`g(x)=5^x`

equate f(x) and g(x)

`9x+7=5^x`

Remember that

For x=2

`f(2)=25\\g(2)=25`

therefore

x=2 is a solution of the system of equations