Question

If f(x) =3x+4,find f^-1(x)

Answer 1

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 2

na

Answer 3

Good luck then I guess.

Answer 4

batman u r cool

Answer 5

Thanks lol

Answer 6

\[f(x) = 3x+4\]

To find the inverse, follow the steps I've posted above.

So, first thing replace f(x) with y.

\[y=3x+4\]

Our second step is to switch the x's and y's around, so:

\[x=3y+4\]

Now we just solve for y

\[x-4=3y \]

\[y = \frac{ x-4 }{ 3 }\]

and finally we replace y with f^-1(x)

\[f ^{-1}(x) = \frac{ x-4 }{ 3 }\]

Do you need the reason why we do this or just this?

Answer 7

\[f ^{-1}(x) \neq \frac{ 1 }{ f(x) }\] the negative 1 does not represent an exponent here.