Graph f(x)=2x^2-4, and find the inverse

Question

anonymous · Answer

@peachpi @vera_ewing

anonymous · Answer

Did you graph it? and is there a domain restriction for the inverse?

anonymous · Answer

yes, i graphed it. What does that mean 'domain restriction'?

anonymous · Answer

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 · Answer

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIyeF4yLTQiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDB9XQ-- This is the graph, so not that I can see

anonymous · Answer

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 · Answer

okay:) I understand that :)

anonymous · Answer

How would you graph the inverse?

anonymous · Answer

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