SOLUTION: Find the inverce of the function f(x)= 2/3x- 3/5. I know the answer is f^-1 (x) =3/2x + 9/10. It is really important to me to know how it is done. I need to know the solution

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the inverce of the function f(x)= 2/3x- 3/5. I know the answer is f^-1 (x) =3/2x + 9/10. It is really important to me to know how it is done. I need to know the solution      Log On


   

Question 80382This question is from textbook Algebra for college students
: Find the inverce of the function f(x)= 2/3x- 3/5.
I know the answer is f^-1 (x) =3/2x + 9/10.
It is really important to me to know how it is done. I need to know the solution. Thanks This question is from textbook Algebra for college students

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=2%2F3x-3%2F5
First, write the function as an equation:
y=2%2F3x-3%2F5
solve the equation for x:
2x%2F3=y%2B3%2F5
2x=3y%2B9%2F5
x=3y%2F2%2B9%2F10
Now, you can just rewrite this as follows in f^-1(x) form:
highlight%28f%5E-1%28x%29=3x%2F2%2B9%2F10%29
Good Luck,
tutor_paul@yahoo.com