SOLUTION: Hello, quick question. I need to find the inverse of this function. And the domain and range of it. f(x)= 3/x-7 This is the answer that I got, did I do anything wrong? Doma

Question 462903: Hello, quick question. I need to find the inverse of this function. And the domain and range of it.
f(x)= 3/x-7
This is the answer that I got, did I do anything wrong?
Domain of f: (-infinity, 7)U(7, infinity)
Range of f: (-infinity, 0)U(0, infinity)
f-1(x)= (3/x)+7

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If the function is , then replace f(x) with y, then swap x and y to get and solve for y

So the inverse function is

Domain of f:

(ie you can plug in any number but 7 since this value results in a division by zero)

Range of f:

(this is equal to the horizontal asymptote)

Now simply flip the domain and range of f(x) to get the domain and range for the inverse

Domain of

Range of

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