anonymous
  • anonymous
Graph f(x)=2x^2-4, and find the inverse
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@peachpi @vera_ewing
anonymous
  • anonymous
Did you graph it? and is there a domain restriction for the inverse?
anonymous
  • anonymous
yes, i graphed it. What does that mean 'domain restriction'?

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anonymous
  • anonymous
is there a restriction on the x values? I ask because f(x) is a parabola and it isn't one-to-one which generally means it doesn't have an inverse without the restriction
anonymous
  • anonymous
http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIyeF4yLTQiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDB9XQ-- This is the graph, so not that I can see
anonymous
  • anonymous
You can still solve for an inverse using the usual process, but you can only do it for half the function at a time I think. f(x) = 2x² - 4 y = 2x² - 4 Switch x and y and solve for y x = 2y² - 4 x + 4 = 2y² ½x + 2 = y² \[y=\pm \sqrt{\frac{ 1 }{ 2 }x+2}\]
anonymous
  • anonymous
okay:) I understand that :)
anonymous
  • anonymous
How would you graph the inverse?
anonymous
  • anonymous
|dw:1439245043828:dw|
anonymous
  • anonymous
If you have points for f(x) reverse them to get points for the inverse. For example (0,-4) and (1, -2) are on f(x). (-4, 0) and (-2, 1) will be on the inverse
anonymous
  • anonymous
ohhh! Ok, I get it now:D. So would the inverse be considered a function?
anonymous
  • anonymous
no it's not a function because it doesn't pass the vertical line test.
anonymous
  • anonymous
okay, thanks so much:)
anonymous
  • anonymous
you're welcome

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