## horsegirl27 one year ago Help me I'm so confused!!

1. horsegirl27

http://prntscr.com/7dszf6 I may be able to do the rest myself when I understand the first part.

2. horsegirl27

3. horsegirl27

4. horsegirl27

I will medal and fan

5. anonymous

Well, let's find the inverse of f(x) without plugging in any numbers. That way we can see the relationship between a, b, c, and d that we need. If we start with $$y = \frac{x+a}{b}$$, we can find the inverse by exchanging the variables x and y and then resoving for y. $$y = \frac{x+a}{b}$$ becomes $$x = \frac{y+a}{b}$$ Now solving for y, we get: $x = \frac{ y+a }{ b }$ $bx = y+a$ $bx-a = y$ Now compare our result with g(x). We have $$f^{-1}(x) = bx-a$$ and we want it to look like $$g(x) = cx-d$$. So these two will be equal to each other if b = c and a =d. Can you see that?

6. anonymous

@horsegirl27