Answer: it is the first function: y = f(x) = [tex]log_9x[/tex]
Explanation:
1) You can give a quick answer to this question when you realize that the function graphed is restricted ot positve x - values.
Because, the domain of both 9ˣ and x⁹ is all the real numbers and, indeed, the domain of the logarithmic function is x > 0.
2) Other remarkable feature is the limit of the function as x approaches zero.
The limit of 9ˣ when x approaches 0 is 1.
The limit of x⁹ when x approaches 0 is 0
And the limit of log₉ x when x approaches 0⁺ is negative infinity.
