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WITCHER [35]
3 years ago
7

If f(x) =

"absmiddle" class="latex-formula">, what is the equation for f–1(x)?
Mathematics
2 answers:
Delvig [45]3 years ago
7 0

Answer:

f^{-1}(x) = x^{2}-6x+9 is the answer.

Step-by-step explanation:

If the function is f(x) = √x + 3

We will write the function as an equation

y = √x + 3

√x = y - 3

x = (y -3)²

x = y² -6y +9

Now we will convert the equation into a function

f^{-1}(x) = x^{2}-6x+9

Therefore the inverse function f(x) = x²-6x+9

mart [117]3 years ago
4 0

Answer:

f⁻¹(x) = (x-3)²

Step-by-step explanation:

We have given a function.

f(x) = √x + 3

We have to find inverse of above function.

f⁻¹(x) = ?

Putting y = f(x) in above equation, we have

y = √x + 3

We have to separate x from above equation.

Adding -3 to both sides of above equation, we have

y-3 = √x+3-3

y-3 = √x

Taking square to both sides of above equation, we have

(y-3)² = (√x)²

(y-3)² = x

Swapping  above equation , we have

x = (y-3)²

Putting x = f⁻¹(y) in above equation, we have

f⁻¹(y) = (y-3)²

Replacing y with x , we have

f⁻¹(x) = (x-3)² which is the answer.

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Step-by-step explanation:

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3 years ago
Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining
KIM [24]
The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
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Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
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This is the same as saying we have 3, 7 times. Written like this:

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So after 7 minutes the tub has lost 21 gallons.

Now we take the original number of gallons and take away what was lost:

32-21=11

So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

7 0
2 years ago
Which ordered pair is in the solution set of the system of linear inequalities graphed below?
motikmotik

Answer:

Graphed?

Step-by-step explanation:

5 0
3 years ago
Simplify<br><br> 5-2(6+4m)+5m<br><br><br> Can anyone help me solve this thanks!
harina [27]
1. 3(6+4m) + 5m
2. Distribute the 3 to the inside of the brackets = 18 + 12m + 5m
3. 17m+18

Hope this helps!
8 0
3 years ago
Read 2 more answers
Jackson ran 2 12 miles around the track. Each lap around the track is 14 of a mile. How many laps did Jackson run?
Lemur [1.5K]

Answer:

212/14=15

Step-by-step explanation:

3 0
2 years ago
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