Y = X2
Inverse.
Y = 1/X2
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Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
1 over x2 - 4 is the multiplicative inverse of x2 minus four 1/x2 - 4
x=y is the identity. It is its own inverse. So the inverse is y=x.
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2