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anonymous

  • one year ago

Task 1 Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. f(x)=x+a/b g(x)=cx−d Part 2. Show your work to prove that the inverse of f(x) is g(x). Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

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  1. anonymous
    • one year ago
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    @peachpi I need you when you get a chance

  2. anonymous
    • one year ago
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    |dw:1437340736543:dw|

  3. anonymous
    • one year ago
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    can I insert any values

  4. anonymous
    • one year ago
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    yes you can use any value. I was asking which one of those is the right format for f(x)

  5. anonymous
    • one year ago
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    f(x)=x+a/b

  6. anonymous
    • one year ago
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    I'm guessing you mean the top one? If that's the case, b = c and a = d.

  7. anonymous
    • one year ago
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    so you only need to pick 2 numbers

  8. anonymous
    • one year ago
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    ok what about 7 and 5

  9. anonymous
    • one year ago
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    Actually that doesn't make sense because then you could just subtract a/b. Is just a in the numerator of the fraction?

  10. anonymous
    • one year ago
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    yes so are there any specific numbers I have to put In because remember f(x) ad g(f) have to be inverses

  11. anonymous
    • one year ago
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    tbh I'm kind of confused. I'm still stuck on what f(x) is supposed to be. The format makes a difference because of order of operations. Is it the top one I have drawn above, or the bottom?

  12. anonymous
    • one year ago
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    its the bottom one

  13. anonymous
    • one year ago
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    ok. so then yes you can use 7 and 5.

  14. anonymous
    • one year ago
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    which one is a and which is b?

  15. anonymous
    • one year ago
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    so I fill in 7 and 5 for x or a b

  16. anonymous
    • one year ago
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    \[f(x)=\frac{ x+7 }{ 5 }\]

  17. anonymous
    • one year ago
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    So then the inverse would be g(x)=5x - 7

  18. anonymous
    • one year ago
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    ok now how would I show work to prove that the inverse of f(x) is g(x)

  19. anonymous
    • one year ago
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    are there specific steps that I have to go through

  20. anonymous
    • one year ago
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    Find f(g(x)) or g(f(x)). If you get x, they're inverses

  21. anonymous
    • one year ago
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    ok so when I graph them how would I do that

  22. anonymous
    • one year ago
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    https://www.desmos.com/calculator you can use that to graph. just use y= in front of the equation

  23. anonymous
    • one year ago
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    ok thanks for all your help today sorry to ask so many questions

  24. anonymous
    • one year ago
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    no problem. good luck with your class :)

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