The tables which depicts inverse function are the tables : A and D
- Two functions are inverse of one another if the coordinate values are swapped.
- This means that, if the function f(x) produces the outputs y. And the function p(y) produces the outputs x. Such that the values of y and x are reversed in the two Functions, the we have inverse functions.
To verify the inverse functions :
The (x, y) values in the first function table must be reversed to produce (y, x) in the second function table ;
Visually inspecting the tables :
Only TABLE A and D represents inverse of two functions.
Table A
x ___ -5 __ -3 __ 0 __ 2 __ 4
y ___ 4 ___ 0 __ -6 _ -10 _ -14
TABLE D :
x __ -14 __ -10 __ -6 ___ 0 ___ 4
y __ 4 ___ 2 ___ 0 ____ -3 __ -5
Carefully observe they the (x, y) value pairs in table A are reversed to (y, x) in table D.
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