anonymous
  • anonymous
if f(x)--3x+3 then f^-1(x)= ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
f(x) = -3x + 3 right?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
try solving y = -3x + 3 for x. Tell me what you get or draw it out

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jim_thompson5910
  • jim_thompson5910
you'll follow the same steps as last time
anonymous
  • anonymous
so isolate x?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
|dw:1436929146403:dw| good so far?
jim_thompson5910
  • jim_thompson5910
f(x) minus 3 is NOT the same as f(-3)
jim_thompson5910
  • jim_thompson5910
you simply leave it as f(x) - 3
anonymous
  • anonymous
okay
jim_thompson5910
  • jim_thompson5910
|dw:1436929275093:dw|
jim_thompson5910
  • jim_thompson5910
what would be the next step? what must you do to both sides to undo the "-3 times x" ?
anonymous
  • anonymous
divide by -3
jim_thompson5910
  • jim_thompson5910
yes |dw:1436929349442:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436929370895:dw|
jim_thompson5910
  • jim_thompson5910
now swap x and f(x), then replace f(x) with the inverse function notation
UsukiDoll
  • UsukiDoll
Wouldn't it be easier to swap the variables first and then solve for y ? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes that is a possibility. Either way you get to the same answer
UsukiDoll
  • UsukiDoll
f(x) = y y=-3x+3 swap variables x=-3y+3 solve for y
anonymous
  • anonymous
|dw:1436929457505:dw| well this is the inverse function notation
jim_thompson5910
  • jim_thompson5910
yes it is
jim_thompson5910
  • jim_thompson5910
|dw:1436929541108:dw|
jim_thompson5910
  • jim_thompson5910
swap x and f(x) then use the inverse notation in place of f(x) |dw:1436929571273:dw|
UsukiDoll
  • UsukiDoll
yeah we are looking for the inverse We just swap the variables x and y and then solve for y ... same process. only swapping first in my opinion is better.
UsukiDoll
  • UsukiDoll
here's what I would do .. as an alternative |dw:1436929754290:dw|
UsukiDoll
  • UsukiDoll
|dw:1436929808166:dw| replace y with the f^-1(x) notation
UsukiDoll
  • UsukiDoll
|dw:1436929849688:dw|

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