Respuesta :

Answer:

[tex]f'(x)= -\frac{y}{0.7}[/tex]

Step-by-step explanation:

our function is  

f(x)=-0.7x

we are asked to determine the inverse of the above function . In order to do so we put f(x) = y and separate x in terms of y and in the final answer , we replace x with y and x with f'(x)

let us see how do we do that

y=-0.7x

dividing both sides by -0.7 we get

[tex]\frac{y}{-0.7}=x[/tex]

[tex]x= -\frac{y}{0.7}[/tex]

we replace x with y and x with f'(x)

[tex]f'(x)= -\frac{y}{0.7}[/tex]

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