anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@peachpi I need you when you get a chance
anonymous
  • anonymous
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anonymous
  • anonymous
can I insert any values

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anonymous
  • anonymous
yes you can use any value. I was asking which one of those is the right format for f(x)
anonymous
  • anonymous
f(x)=x+a/b
anonymous
  • anonymous
I'm guessing you mean the top one? If that's the case, b = c and a = d.
anonymous
  • anonymous
so you only need to pick 2 numbers
anonymous
  • anonymous
ok what about 7 and 5
anonymous
  • anonymous
Actually that doesn't make sense because then you could just subtract a/b. Is just a in the numerator of the fraction?
anonymous
  • anonymous
yes so are there any specific numbers I have to put In because remember f(x) ad g(f) have to be inverses
anonymous
  • anonymous
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?
anonymous
  • anonymous
its the bottom one
anonymous
  • anonymous
ok. so then yes you can use 7 and 5.
anonymous
  • anonymous
which one is a and which is b?
anonymous
  • anonymous
so I fill in 7 and 5 for x or a b
anonymous
  • anonymous
\[f(x)=\frac{ x+7 }{ 5 }\]
anonymous
  • anonymous
So then the inverse would be g(x)=5x - 7
anonymous
  • anonymous
ok now how would I show work to prove that the inverse of f(x) is g(x)
anonymous
  • anonymous
are there specific steps that I have to go through
anonymous
  • anonymous
Find f(g(x)) or g(f(x)). If you get x, they're inverses
anonymous
  • anonymous
ok so when I graph them how would I do that
anonymous
  • anonymous
https://www.desmos.com/calculator you can use that to graph. just use y= in front of the equation
anonymous
  • anonymous
ok thanks for all your help today sorry to ask so many questions
anonymous
  • anonymous
no problem. good luck with your class :)

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