## ChuckNora16 3 years ago The graph of a function f(x) is as shown. Select the graph of the inverse function.

1. ChuckNora16

2. ChuckNora16

3. ChuckNora16

I don't know where to start.

4. JoãoVitorMC

|dw:1351216347183:dw|

5. ChuckNora16

Is that the inverse? (sorry I took a minute to reply)

6. satellite73

take your graph, and reflect it about the line $$y=x$$

7. ChuckNora16

Is that diagonal? Like instead of reflecting across the x or y axis directly?

8. satellite73

draw tool is not working for me (not much here is, actually) so i will try to attach a picture

9. satellite73

but yes, right across the line $$y=x) 10. ChuckNora16 Okay. Thank you for helping me by the way. I really appreciate it. 11. ChuckNora16 So would it look like this graph? 12. satellite73 here is a graph that looks something like your function http://www.wolframalpha.com/input/?i=1%2Fx%2B5+domain+-5..5 13. ChuckNora16 To get the inverse of the graph, would I flip 1/x to just x + 5? 14. satellite73 here is the graph of the inverse http://www.wolframalpha.com/input/?i=1%2Fx%2B5+domain+-5..5 15. satellite73 oh no!! 16. satellite73 inverse does not mean "reciprocal" that is for numbers inverse means inverse function 17. ChuckNora16 OH! Sorry lol 18. satellite73 so if \(f(x)=\frac{1}{x}+5$$ that means a) take the reciprocal b) add 5 inverse is a) subtract 5 b) take the reciprocal i.e. $$f^{-1}(x)=\frac{1}{x-5}$$

19. satellite73

looks like you picked the right one

20. ChuckNora16

Ooh, okay. Well thank you!

21. satellite73

yw