If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
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On a number line, the length of a segment is the absolute value of the difference of the coordinates. So, if point has coordinate
and point
has coordinate
, we have
So, you have
So, yes, they are congruent.
1. Perhaps the simplest rule is one that makes this the start of an arithmetic sequence:
Then the sequence will continue ...
... 3, 5, 7, 9, 11, 13, 15, ...
2. We can multiply the two terms by some values, add the results, then add some constant. There are an infinite number of ways to choose such values. Here's one set of numbers that give the third term from the first two:
Then the sequence will continue ...
... 3, 5, 7, 13, 15, 37, 23, ...
3. We can multiply adjacent values and add a constant.
Then the sequence will continue ...
... 3, 5, 7, 28, 188, 5256, 988120, ...