anonymous
  • anonymous
@shalante can you help me with a problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
i just need help graphing something ..
anonymous
  • anonymous
Post it
anonymous
  • anonymous
okay so it says Using the two functions listed below, insert numbers in place of letters a,b,c and d so that f(x) and g(x) inverses \[f(x) = \frac{ x+a}{ b }\]

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anonymous
  • anonymous
and g(x) - cx - d
anonymous
  • anonymous
for this part, i chose to do this f(x) = 2x + 5
anonymous
  • anonymous
to find g(x) we would have to find the inverse of f(x) right?
anonymous
  • anonymous
becaue i did it that way, and got this: y=2x+5 (because i replaced f(x) and y)
anonymous
  • anonymous
am i correct so far?
anonymous
  • anonymous
f(x) has to be (x+any number)/a different number.
anonymous
  • anonymous
i got x-5=2y/ 2
anonymous
  • anonymous
and then after simplifying that i got y = x-5 / 2
anonymous
  • anonymous
then where it says to evaluate g(x) i wasnt sure but this is how i did it:
anonymous
  • anonymous
is it g(x)-cx-d or g(x)=cx-d?
anonymous
  • anonymous
g(f(x)) = (2x+5)-5 / 2
anonymous
  • anonymous
its g(x)=cx-d
anonymous
  • anonymous
wait im sorry i didnt include the parts
anonymous
  • anonymous
for part 1 it said show the work that the inverse of f(x) is g(x)
anonymous
  • anonymous
2nd*
anonymous
  • anonymous
the third part says to show my work evaluating g(x) and thats how i got the last ones
anonymous
  • anonymous
i got g(f(x)) = (2x+5)-5 / 2 , because i thought i would have to replace f(x) with the X in the g(x) ... if that makes any sense
anonymous
  • anonymous
and at the end its asking me to graph it and im lost o_o
anonymous
  • anonymous
what do you have to graph? f(g(x))?
anonymous
  • anonymous
yes ..
anonymous
  • anonymous
i got this far : \[g(f(x)) = \frac{ (2x+5)-5 }{ 2 }\]
anonymous
  • anonymous
but im not sure how to graph it now
anonymous
  • anonymous
Can you type out the whole problem correctly in one box to make sure?
anonymous
  • anonymous
thats it....
anonymous
  • anonymous
tell me part 1,2,3 exactly from your assignment
anonymous
  • anonymous
I need to know all the parts to do the steps correctly.
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.
anonymous
  • anonymous
And if you go to the top, thats how i did the work...
anonymous
  • anonymous
Part 1 Let a=5, b=2,c=2,d=5 so |dw:1440132478788:dw| Part 2 |dw:1440132298809:dw| |dw:1440132437924:dw| Part 3:|dw:1440132646061:dw| |dw:1440132696527:dw|
anonymous
  • anonymous
Part 4|dw:1440132750951:dw|
anonymous
  • anonymous
You are supposed to graph f(x), g(x) and y=x not g(fx))
anonymous
  • anonymous
thaaank youuuuuuuuuuuuuuuuuuuuuuu very muchh !
anonymous
  • anonymous
You see that f(x) and g(x) are symmetrical to the line y=x?
anonymous
  • anonymous
No problem!
anonymous
  • anonymous
yes now i understand it ! thanks alot
anonymous
  • anonymous
I forgot to write down the 5 values of each function, but I think you know that. All you do is plug in 5 value into x to find y Glad to help!

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