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Ugo [173]
3 years ago
10

Find inverse of f(x)=3x+1

Mathematics
1 answer:
Ratling [72]3 years ago
6 0
First, replace f(x) with y.

So we have now:

y = 3x + 1

Next, switch the x and y.

We get:

x = 3y + 1

Finally, solve for y.

3y = x - 1

y = x/3 - 1/3

So, we have f(x) = 3x + 1, and the inverse of this function is:

\boxed{f^{-1}(x) = \frac{1}{3} x - \frac{1}{3}}\\\\OR\\\\\boxed{f^{-1}(x) = \frac{x-1}{3}}
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Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
tatiyna

The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

  • A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
  • Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2\pi3(3 + 4)

                 = 6\pi×7

                 = 42\pi

Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

brainly.com/question/10332927

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5 0
2 years ago
What kind of triangle is this?
Sindrei [870]
Right angle
Te reason being is that it has a 90° corner.

Hoped this helped
3 0
3 years ago
Read 2 more answers
Yo i need help with 1,000,000 + - 3,000,000
Arada [10]

Answer: -2,000,000

Step-by-step explanation:

Think of it as -3,000,000 + 1,000,000

6 0
3 years ago
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a trunk is shaped like a rectangular prism and is 4 feet long and 1 and a half feet wide and 2 feet tall. what is the surface ar
Yanka [14]
Height is not measured in surface area as that is a 3D look so it is still LW meaning 4 times 1.5 which is 6
8 0
3 years ago
How would you find the volume of this cone?
posledela

Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m

Ans= approx. 26.4 m

Happy to help. Please mark as brainliest!

4 0
3 years ago
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