SOLUTION: Please help. Question: Find the equation of the inverse of f(x)=7x+3/8 Solutions to Choose From: (a) f^1(x)=8x+3/7 (b) f^1 (x)=8/7x+3 (c) f^1 (x) = 7x-8 (d) f^1 (x) =

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Question 29925: Please help.
Question: Find the equation of the inverse of f(x)=7x+3/8
Solutions to Choose From:
(a) f^1(x)=8x+3/7
(b) f^1 (x)=8/7x+3
(c) f^1 (x) = 7x-8
(d) f^1 (x) = 8x-3/7
Answer by sdmmadam@yahoo.com(530) (Show Source):
You can put this solution on YOUR website!
Probably the problem is f(x) = (7x+3)/8
Let f(x) = y
Then y =(7x+3)/8
Which gives 8y = 7x+3
8y-3 = 7x
x = (8y-3)/7
Putting x in the place of y, the above x becomes inverse of x
Therefore inverse of x
= (8x-3)/7
Which is your choice (d) provided you put the bracket for the whole (8x-3)
Note: For every funciton it is custormary to call the domain arbitrary member to be x and hence for the new function: f inverse of x which is also a function in x and hence replace y by x for the inverse function consideration!