The function f(x)=1/6{2/5}x is reflected across the y axis to create the function g(x). which ordered pair is on g(x)

When  you reflect a function across the y-axis the new function is obtained by changing x for (-x)

So, when  you reflect y = (1/6) [2.5]^(x) across the y-axis you create the function g(x) = (1/6) [2.5] ^(-x)

Now, to obtain the ordered pairs, you just give a value to x and calculate g(x).

This table shows some ordered pairs:

x                  g(x) = (1/6) * (2.5) ^ (-x)

-10           (1/6) (2.5)^ (10) = 1,589.457

-1             (1/6) (2.5)^(1) =  0.416667

0              (1/6) (2.5)^(0) = 1/6 = 0.166667

1              (1/6) (2.5)^(-1) = 0.066667

10            (1/6)(2.5)^(-10) = 0.000017476

So, you see that to find each pair you give a value to x and then find the image replacing x in the function g(x) = (1/6)*[2.5](^-x).