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]