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Zolol [24]
2 years ago
6

Determine the inverse of the function

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
3 0
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
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a cold wave hit chicago when the temperature hit 62 f during the cold wave the temperature dropped 2 degrees every hour how many
Vladimir [108]
We start at 62 Fahrenheit. And every hour we drop two degrees. We want to know how long it took for the temperature to drop to 40 Fahrenheit.

If one hour passed, then the temperature dropped two degrees.
If two hours passed, then the temperature dropped 4 degrees.

See the pattern? We can define this as 2h. Where h represents time in hours.
We subtract 2h from 62. 

We can write this as a function. F(h) = 62 - 2h.
Where F is the temperature in Fahrenheit. And h is the hour(s).

Now that we have the formula, let's plug in the value 40 Fahrenheit to see how long it took for the temperature to drop to 40 degrees.

40 = 62 - 2h
Subtract 62 from each side

-22 = -2h
Divide both sides by 2

h = 11

So, it took 11 hours for the temperature to drop to 40 Fahrenheit.
3 0
2 years ago
Drag each graph to show if the system of linear equations it represents will have no
zimovet [89]
That’s a good question. But I don’t know the answer
3 0
2 years ago
Can someone help me pls :)
Makovka662 [10]

Answer:a

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
During a store's closing sale, everything is 65% off. Vikram goes into the store to buy a shirt and a pair of pants, and spends
saw5 [17]

Answer:

without the sales, he would have spent $44.57

Step-by-step explanation:

Let the amount he would have spent without the sales be x. Now, if there is a 65% discount, what this means is that he is exactly paying for 100 - 65% = 35%

Now, it is this 35% of X that is equal to the amount he paid

Thus, mathematically, we have the following;

35/100 * x = 15.60

35x = 15.6 * 100

35x = 1560

x = 1560/35

x = $44.57

This means that without the sales discount, he would have paid $44.57

5 0
3 years ago
Find the first four terms for the arithmetic sequence given a1 = 6 and d = 5
DENIUS [597]

Answer:

6, 11, 16, 21

Step-by-step explanation:

To obtain the first 4 terms add the common difference 5 to the previous term, that is

a₁ = 6

a₂ = a₁ + 5 = 6 + 5 = 11

a₃ = a₂ + 5 = 11 + 5 = 16

a₄ = a₃ + 5 = 16 + 5 = 21

7 0
2 years ago
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