Question

Hey! If f(x) = -1/2x -3 find f^1(x)

Answer 1

f '(x)?

Answer 2

Yeah f(x)

Answer 3

2/(2x+3)^2

Answer 4

We have
\[ f(x)= -\frac{1}{2x-3}\]
Let's substitute \[x=f^{-1} (x)\]
We get
\[ x= -\frac{1}{2f^{-1} (x)-3}\]
Let's cross multiply
\[2xf^{-1} (x)-3x=-1\]
Add 3x to both sides
\[2xf^{-1} (x)=3x-1\]
we get
\[ f^{-1} (x)= \frac{3x-1}{2x}\]

Answer 5

I think she's asking for derivative.

Answer 6

What do you need to find, Lib, the first derivative or the inverse?

Answer 7

Yessir

Answer 8

I would appreciate the help