Question

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

Answer 1

Answer:

$f'(x)= -\frac{y}{0.7}$

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

$\frac{y}{-0.7}=x$

$x= -\frac{y}{0.7}$

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

$f'(x)= -\frac{y}{0.7}$