SOLUTION: what is the inverse function of h(x)=9x/x-1 and what is the domain and range of the inverse of h(x)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the inverse function of h(x)=9x/x-1 and what is the domain and range of the inverse of h(x)      Log On


   

Question 884057: what is the inverse function of h(x)=9x/x-1 and what is the domain and range of the inverse of h(x)
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
solve the given equation for x
h = 9x / (x-1)
hx -h = 9x
9x - hx = -h
x(9 - h) = -h
x = -h / (9 - h)
interchange x's and h's
h inverse = -x / 9 - x)
domain is all real numbers except x = 9
range is all real numbers