Answer:
The range of a function is the set of all possible output values. To find a function with the same range as f(x) = (-5/7)(3/5)x, we need to find a function g(x) such that the output values of g(x) are the same as the output values of f(x).
Notice that the function f(x) is a linear function with slope (-5/7)(3/5) = -3/7, and y-intercept of 0. Therefore, any function with the same slope and y-intercept of 0 will have the same range as f(x).
Out of the given answer choices, we can see that the function g(x) = 5/7(3/5)x has the same slope as f(x) but the y-intercept is different (it is also 0). Therefore, g(x) = 5/7(3/5)x has the same range as f(x).
So, the answer is g(x) = 5/7(3/5)x.