Posted by **ALLI** on Wednesday, September 5, 2012 at 6:53pm.

the function f(x)=6x+9/3x-7

find the inverse and check answer

f^-1(x)=?

please show work

- college alg -
**Reiny**, Wednesday, September 5, 2012 at 8:31pm
I have a strong feeling you meant

f(x) = (6x+9)/(3x-7)

if so, let

y = (6x+9)/(3x-7)

inverse:

x = (6y+9)/(3y-7)

solving that for y ....

3xy - 7x = 6y+9

3xy - 6y = 7x+9

y(3x - 6) = 7x+9

y = (7x+9)/(3x-6)

**f^-1 (x) = (7x+9)/(3x-6)**

check:

f(0) = 9/-7

f^-1(-9/7) = (7(-9/7) + 9)/(3(-9/7)-6)

= 0/...

= 0

(This does not prove that my answer is correct, but shows a very strong probability that it is correct)

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