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Dovator [93]
2 years ago
12

If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
6 0
<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

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Answer:

No solution

Explanation:

-4+19-7f = -15-7

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Calculate the sum

-4+19= -15

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4 0
2 years ago
Mr zambito buys a 3 1/2 - pound bag of dog food every 3 weeks mr zambito feeds his dog the same amount of dog food each day how
Murljashka [212]
3 1/2 pound = 7/2 pounds.
We know that the dog eats 7/2 (3.5) pounds every 21 days since there are 7 days in a week and Mr.Z only buys dog food every 3 weeks.

Set up a proportion.     <u>3.5 lb</u>     =    <u>    x     </u><u>
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<u>
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3 0
3 years ago
Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people b
nignag [31]

Answer:

  • 3:16 P.M.
  • 5:22 P.M.

Step-by-step explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

  (18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

  1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

  3:16 +2:06 = 5:22 . . . P.M.

4 0
3 years ago
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SOVA2 [1]

Answer:

#3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someone help me please ?
sweet-ann [11.9K]
I hope this helps you

4 0
3 years ago
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