Question

The table shows some values of f(x) and g(x) for different values of x:

Complete the chart and determine the solution of the equation f(x) = g(x).

A.x=-1
B.x=0
C.x=2
D.x=25

the table picture is on top
please help​

Answer 1

C. x=2

Explanation:

To complete the table, let's plug in the x-values into
`f(x)` and
`g(x)`, so:

For
`f(x)`:

`If \ x=0: \\ \\ f(0)=9(0)+7=7 \\ \\ \\ If \ x=1: \\ \\ f(1)=9(1)+7=16 \\ \\ \\ If \ x=2: \\ \\ f(2)=9(2)+7=25`

For
`g(x)`:

`If \ x=-2: \\ \\ g(-2)=5^(-2)=0.04 \\ \\ \\ If \ x=-1: \\ \\ g(-1)=5^(-1)=0.2 \\ \\ \\ If \ x=2: \\ \\ g(2)=5^(2)=25`

From this, the complete table is:

`\left|\begin{array}cx & f(x)=9x+7 & g(x)=5^(x)\\-2 & -11 & 0.04\\-1 & -2 & 0.2\\0 & 7 & 1\\1 & 16 & 5\\2 & 25 & 25\end{array}\right|`

From the table, you can see that
`f(x)=g(x)=25` when
`x=2` so the correct option is C. x=2. But what does
`x=2` mean? It means that at this x-value, the graph of the linear function
`f(x)` and the graph of the exponential function
`g(x)` intersect and the point of intersection is
`(2,25)`