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Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]
[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]
[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
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