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Montano1993 [528]
3 years ago
10

Let f(x)=2x+2. Solve f^-1(x) when x=4

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0
F⁻¹(x) stands for the invers of function f(x). The inverse of f(x) is equal to x. We need to solve for x.

solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
  x = \dfrac{f(x)-2}{2}
f⁻¹(x) = \dfrac{x-2}{2}

Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) = \dfrac{x-2}{2}
f⁻¹(4) = \dfrac{4-2}{2}
f⁻¹(4) = \dfrac{2}{2}
f⁻¹(4) = 1
When x = 4, the value of f⁻¹(x) is equal to 1
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Marcus buys a tent priced at $50 if the sales tax is 5% how much tax will Marcus pay
seraphim [82]

5% = 0.05

50 x 0.05 = $2.50

 Total tax will be $2.50


 Total amount he will pay = 50 + 2.50 = $52.50

3 0
3 years ago
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Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
vredina [299]

Answer:

Step-by-step explanation:

Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:

37^2=12^2+b^2 and

1369 = 144 + b² and

1225 = b² so

b = 35

The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35

7 0
3 years ago
A pitcher of punch holds 2 gallons if 9 people share the entire pitcher how much do that get a peice
kirza4 [7]
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9

Each person would get 2/9 of a gallon if they shared it.

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Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Each person would receive 2/9 of a gallon.
8 0
3 years ago
Find the arc length of the partial circle.
Step2247 [10]
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•

Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
3 0
3 years ago
Find the value of x. help please
vampirchik [111]

Answer:

x=10

Step-by-step explanation:

It's a 90 degree angle.

90-60=30

30=the remaining angle, 3x

x=30/3, or 10

Hope I helped!

5 0
3 years ago
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