Respuesta :

Answer:

(x^(-5/7))/2

Step-by-step explanation:

To get the inverse function you switch x and y (y is the same as f(x))

so we start with y=(2x)^-7/5
and switch x and y, so

x=(2y)^-7/5

all these answers are in terms of x, so isolate y by..

taking the -(5/7)ths power of both sides

x^(-5/7)=2y

and then dividing by 2 on both sides

(x^(-5/7))/2=y

again, y is the same as the the inverse function f^-1(x), so it's the bottom left option.

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