The completed chart is attached as an image
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Plug x = -2 into f(x) to get:
f(x) = 9*x + 7
f(-2) = 9*(-2) + 7
f(-2) = -18 + 7
f(-2) = -11
Do the same for g(x):
g(x) = 5^x
g(-2) = 5^(-2)
g(-2) = 0.04
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Plug x = -1 into f(x) to get:
f(x) = 9*x + 7
f(-1) = 9*(-1) + 7
f(-1) = -9 + 7
f(-1) = -2
Do the same for g(x):
g(x) = 5^x
g(-1) = 5^(-1)
g(-1) = 0.2
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Plug x = 0 into f(x) to get:
f(x) = 9*x + 7
f(0) = 9*(0) + 7
f(0) = 0 + 7
f(0) = 7
Do the same for g(x):
g(x) = 5^x
g(0) = 5^(0)
g(0) = 1
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Plug x = 1 into f(x) to get:
f(x) = 9*x + 7
f(1) = 9*(1) + 7
f(1) = 9 + 7
f(1) = 16
Do the same for g(x):
g(x) = 5^x
g(1) = 5^(1)
g(1) = 5
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Plug x = 2 into f(x) to get:
f(x) = 9*x + 7
f(2) = 9*(2) + 7
f(2) = 18 + 7
f(2) = 25
Do the same for g(x):
g(x) = 5^x
g(2) = 5^(2)
g(2) = 25
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Write each of the results into the table (again see attached)
In the last row of that table, we have x = 2 lead to f(x) = 25 and g(x) = 25
So f(x) = g(x) has the solution of x = 2
The solution is x = 2 and not x = 25
25 is the output f(x) and g(x) value. It is not the x value.
Answer: choice C) x = 2
