If f(x) = 5x, what is f^-1(x)
2 answers:
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Answer:
Domain: {-3, 0 3}
Range: {0, 3}
Step-by-step explanation:
Recall that the Domain of a relationship associated with coordinate pairs of the form (x,y), is the set of all "x-values" given in the relationship.
The Range is the set of all "y-values" given in the relationship.
In our case, we have three coordinate points defining the relationship. These points have the following (x,y) coordinates (see attached image to see which coordinates are associated with each point):
(-3, 3), (0, 0), and (3, 3)
Therefore, the x values associated with these points are: -3, 0 and 3
therefore the Domain of the relationship is the set: { -3, 0, 3}
On the other hand, he y values associated with these points are: 3, 0, and again 3. So in fact there are just to distinct y-values: 0 and 3.
therefore the Range of the relationship is he set: {0, 3}
which corresponds to answer B.
