Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):
We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:
f(x) + g(x) = (3x - 1) + (x + 2)
Combine like terms:
f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1
Therefore, (f + g)(x) = 4x + 1.
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Look for points with whole number coefficients. (2,4) is such a point; (0,1) is another. To find points on the graph of the inverse of this function, all we have to do in this case is to reverse the order of the coefficients, so
(2,4) becomes (4,2) and (0,1) becomes (1,0). Only (4,2) is included in the list of answer choices, above, so the correct answer is (4,2).
If the points are scattered it’s no correlation
