Posted by Brianna on Sunday, October 30, 2011 at 11:08pm.
You want h(h) = h. That is,
3h+4 = h
3(3x+4) + 4 = 3x+4
9x + 12 + 4 = 3x + 4
6x = -12
x = -2
h(-2) = 3(-2) + 4 = -2
Or, using h-1, you could say, recalling that
h-1(h(x)) = x
So, h-1(h(h)) = h-1(h)
h = x
3x+4 = x
2x = -4
x = -2
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