SOLUTION: Find the inverse of the function f(x)= -3x-6. I know the answer is -6-x

Question 80380This question is from textbook Algebra for college students
: Find the inverse of the function f(x)= -3x-6. I know the answer is
-6-x
f-1(x)= ------
3

I only need the solution on how it was figured out. This question is from textbook Algebra for college students

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Find the inverse through the following process.
.
First replace f(x) with y to get:
.

.
Now replace x by y and y by x to get:
.

.
Solve this equation for y just as you would an ordinary equation. This can be done by
first adding 6 to both sides of the equation to eliminate the -6 on the right side to
get:
.

.
Then solve for y by dividing both sides by -3
.

.
Simplifying this results in:
.

.
Transpose sides and the result is:
.

.
Apply the negative sign in front of the right side to each of the terms in the numerator
and you get:
.

.
Finally replace y by to get:
.

.
Other than reversing the order of the two terms in the numerator this is the
answer you
gave in the problem.
.
Hope this helps you understand the four basic steps in finding the inverse of a function:
.
1. Replace with y
2. Interchange x and y
3. Solve for y in terms of x and
4. Replace y with
.
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