Find the domain of the inverse of the following function. The function is defined for x<=0
I found the inverse of the function to be:
for the inverse to exist the values inside the square root have to be positive, which happens if the denominator and numerator are both positive or both negative.
Therefore, when both are positive: -9x-4 > 0 and x-1 > 0
when both are negative: -9x-4 < 0 and x-1 < 0
Hence, I found the domain to be x>1 and x<-4/9.
However, the solution states that the is -4/9 < x < 1 . How is this the answer?