Answer:
{(-14,9),(4,-7),(-8,6)}.
Step-by-step explanation:
To find the inverse you just swap x and y.
So if (a,b) is a point on the relation then (b,a) is on it's inverse.
So the inverse of {(9, –14), (–7, 4), (6, –8)} is:
{(-14,9),(4,-7),(-8,6)}.
The inverse function of the given relation is option (B) {(14, –9), (4, –7), (–8, 6)} is the correct answer.
The inverse function is a function obtained by reversing the given function. An inverse is a function that serves to “undo” another function. The domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.
For the given situation,
The relation are {(9, –14), (–7, 4), (6, –8)}
In the relation, the domain are the values of the input x.
Domain = {9, -7, 6}
In the relation, the range are the values of the output y.
Range = {-14, 4, -8}
The inverse of the given relation can be found by reversing the given function.
The domain of the original function becomes the range of inverse function. So now,
Domain = {-14, 4, -8} and
The range of the given function becomes the domain of the inverse function. So now,
Range = {9, -7, 6}
Thus the inverse function of the given relation are {(–14, 9), (4, –7), (–8, 6)}.
Hence we can conclude that the inverse function of the given relation is option (B) {(14, –9), (4, –7), (–8, 6)} is the correct answer.
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