Question

Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} Complete the ordered pair below for the function shown.
f(x)
-----
g(x)

(4,__)

6/7
1
7/6

Answer 1

Answer: Choice A.  6/7

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Explanation:

The given ordered pair is (4, ___) so we have x = 4 here.

We will plug this into f(x) and g(x) to get

f(4) = 6

g(4) = 7

So we have $\frac{f(4)}{g(4)} = \frac{6}{7}$

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If you're curious where f(4) = 6 came from, all we're doing is looking through the set of points

f = {(0, 1), (2, 4), (4, 6), (6, 8)}

to see which has 4 listed first as the x coordinate. That point is (4,6) so x = 4 leads to y = 6, ie, f(x) = 6 when x = 4. A similar situation happens with g(x) as well.