Question

FAN AND MEDAL



If ƒ(x) = 2x, then ƒ -1(x) =

Answer 1

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

Answer 2

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

Answer 3

@Nnesha

Answer 4

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

Answer 5

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

Answer 6

so x=2y?

Answer 7

right now solve for y

Answer 8

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

Answer 9

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

Answer 10

y= x/2

Answer 11

right

Answer 12

oh ok thankyou so much @Nnesha

Answer 13

np