Question

Find the inverse function f '(x)
f(x) = -0.7x
f'(x) =

Answer 1

`f'(x)= -(y)/(0.7)`

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

`(y)/(-0.7)=x`

`x= -(y)/(0.7)`

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

`f'(x)= -(y)/(0.7)`