Suppose that f(y)=(-7y-6)/(y+3). Find a function g so that f(g(y))=y for all real numbers in the domain of g. g(y)=? I take this to mean I need to find the inverse. How might I do this?

Question

hero · Answer

You find the inverse by simply finding the inverse

anonymous · Answer

You are correct in needing to find the inverse.  You will need to interchange x for y so that you solve for x.  And then y(x+3)=(-7x-6), now distribute your y and put like terms on each side.  So now xy+7x=.3y-6. factor out an x and then and divide the rest out.

anonymous · Answer

so final answer is x=(-3y-6)/(y+7x)

anonymous · Answer

yes - you need to find the inverse

anonymous · Answer

to find the inverse find y in terms of f(y) and replace f(y) in the result by y