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kenny6666 [7]
3 years ago
11

Given that f(x) = −x 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. −14 −7 7 11

Mathematics
1 answer:
Rudiy273 years ago
7 0
F(x) = -x + 4
g(x) = -2x - 3

f(g(x)) = -(-2x - 3) + 4 = 2x + 3 + 4 = 2x + 7
f(g(2)) = 2(2) + 7 = 4 + 7 = 11
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The table shows the outputs y, for different inputs ,x
faust18 [17]

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.

(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:

In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:

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2 years ago
HELP ME IM TIMED!
lions [1.4K]
I’m not sure of the context of your class, but the second choice will give you -21 and the third one will give you -15. The first and last choice are positive, so just between those two
7 0
2 years ago
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What is the gcf of 16,100
Kisachek [45]
The Greatest Common Factor of 16, 100 is 4.
3 0
3 years ago
HELP ASAP PLZ IM TIMED
nasty-shy [4]

Answer:

70

Step-by-step explanation:

4 0
2 years ago
Point J (-4, -6) and point K (4, 4) are located on a coordinate grid. Which measurement is closest to the distance between point
shepuryov [24]

Answer:

The points are sqrt(164) or 2sqrt(41) units apart.

Explanation:

You didn't provide the options in your question. But to find the distance, you need to use the distance formula.

d=sqrt((y2-y1)^2 + (x2-x1)^2)

d is the distance, and (x1, y1) and (x2, y2) are the points.

Use point J (-4,-6) for (x1,y1) and point K (4,4) for (x2, y2).

d=sqrt((4-(-6))^2 + (4-(-4))^2)

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You can compare this to the answer options and find the closest. Hope I could help! :)

3 0
3 years ago
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