Question

if f(x) = 2x
then
f^{-1} (x)= ?

Answer 1

it is asking for the inverse, i think?

y = 2x

inverse is

x = 2y
x/2 = y
x/2 = f^-1(x)

Answer 2

Let f(x) = y

So :

y = 2x

FInd x from here:

\[x = \frac{y}{2}\]

Just flip x and y :

\[y = \frac{x}{2}\]

Here y = \(f^{-1}(x)\)

Answer 3

point of inverse: x = input, y = output

switch x and y (switch the input to the output and vice versa)

you will get an "opposite" equation