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)? , 4/375) , 25/24) c.(2, 2/75) d.(3, -125/48) explain if you can!

(-3, 4/375)

Step-by-step explanation:

Given : The function is reflected across the y-axis to create the function g(x).

To Find:  Which ordered pair is on g(x)?

Solution:

Rule of reflection over y axis : (x,y)→(-x,y)

So, when the function is reflected across the y-axis

So, we obtain a function :

So,

Now substitute the given options to check which satisfies the equation.

a.(-3, 4/375)

Thus Option A lies on g(x)

b.(-2, 25/24)

c.(2, 2/75)

d.(3, -125/48)

So, option A is true

(-3, 4/375) lies on g(x)

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)