The table below 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).

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Answer:

2

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Step-by-step explanation:

-2       -11        -25

-1        -2         -5

0          7          1

1            16        5

2           25        25

This question is based on the value of calculation. Therefore, for x = 2, f(x) is equal to g(x).

Given:

f(x) = 9x + 7

g(x) = [tex]\bold{5^x}[/tex]

We need to determined the solution of the equation f(x) = g(x) for different value of x.

Now for x = -2 . we calculated the value of f(x) and g(x).

f(x) =  9(-2)+ 7  =  -11

g(x) = [tex]\bold{5^{-2}}[/tex]  = 0.04

Thus, for x = -2, f(x) is not equal to g(x).

Now for x = -1 . we calculated the value of f(x) and g(x).

f(x) =  9(-1)+ 7  =  -2

g(x) = [tex]\bold{5^{-1}}[/tex]  = 0.2

Thus, for x = -1, f(x) is not equal to g(x).

Now for x = 0 . we calculated the value of f(x) and g(x).

f(x) =  9(0)+ 7  =  7

g(x) =[tex]\bold{5^{0}}[/tex]  = 1

Thus, for x = 0 , f(x) is not equal to g(x).

Now for x = =1 . we calculated the value of f(x) and g(x).

f(x) =  9(1)+ 7  =  16

g(x) = [tex]\bold{5^{1}}[/tex]  = 5

Thus, for x = 1, f(x) is not equal to g(x).

Now for x = 2 . we calculated the value of f(x) and g(x).

f(x) =  9(2)+ 7  =  25

g(x) = [tex]\bold{5^{2}}[/tex]  = 25

Thus, for x = 2, f(x) is equal to g(x).

Therefore, for x = 2, f(x) is equal to g(x).

For more details, prefer this link:

https://brainly.com/question/3386591