The positive interval of a function is when the function has positive values.
The interval in which both f(x) and g(x) are positive is [tex](3,\infty)[/tex]
From the given graphs of g(x), we have the following observations.
- The graph of f(x) crosses the x-axis at [tex]x =3[/tex]
- The graph of g(x) also crosses the x-axis at [tex]x =3[/tex].
This means that:
[tex](x,y)= (3,0)[/tex] --- for both functions
But when x increases, the value of y becomes positive,
So, the positive interval of f(x) and g(x) is [tex](3,\infty)[/tex]
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