## anonymous one year ago FAN AND MEDAL If ƒ(x) = 2x, then ƒ -1(x) =

1. Nnesha

f(x) is same as y so you can replace f(x) with y $\huge\rm \color{red}{y}=2\color{blue}{x}$ to find inverse f^{-1}(x) switch x and y then solve for y

2. anonymous

Im still confused... how do you switch x and y?

3. anonymous

@Nnesha

4. Nnesha

switch x and y means replace x with y and y with x

5. Nnesha

here is an example $\color{ReD}{y}=\color{blue}{x}+2$ to find inverse i'll switch x and y $\color{blue }{x}=\color{red}{y}+2$

6. anonymous

so x=2y?

7. Nnesha

right now solve for y

8. anonymous

wouldnt it just go back and forth x=2y.... 2x=y... y=2y

9. Nnesha

no how would you cancel out 2 from right side ? remember it's multiplication  2 times y do opposite of multiplication to cancel out the 2

10. anonymous

y= x/2

11. Nnesha

right

12. anonymous

oh ok thankyou so much @Nnesha

13. Nnesha

np