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irina [24]
2 years ago
12

F(x)= (x+1)/2

Mathematics
1 answer:
xeze [42]2 years ago
4 0

9514 1404 393

Answer:

  g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

  g(f(x)) = x   or   f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

  g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

  g(f(x)) = x . . . . the functions are inverses

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Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total
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Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is

Y= 5x+42

-5x +y =42

He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
3 0
3 years ago
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Simply 4 square root of 45
maksim [4K]
Answer : 12 square root 5

4 square root 45
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3 0
3 years ago
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx
Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0
3 years ago
Can someone please help me
IrinaK [193]
For the mean, add together all of the numbers together (let's call the total x) and count how many numbers there are. (let's call this number y). divide x by y, and that is your mean. for the median, put all the numbers in order, and the median is the number in the middle. if there are two numbers in the middle, add them together and divide them by 2.
6 0
3 years ago
Lydia graphed ADEF at the coordinates D (-2,-1), E (-2, 2), and F (0,0). She thinks ADEF is a right triangle. Is Lydia's asserti
Setler79 [48]

The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

<h3>Right triangles </h3>

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

  • D = (-2,-1)
  • E = (-2,2)
  • F = (0,0)

<h3>Slopes</h3>

Start by calculating the slopes of lines DF and EF using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m_{DF} = \frac{0 + 1}{0 +2}

m_{DF} = \frac{1}{2}

Also, we have:

m_{EF} = \frac{0 -2 }{0+2}

m_{EF} = \frac{-2 }{2}

m_{EF} = -1

For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.

i.e.

m_1 = -\frac{1}{m_2}

By comparison, the slopes of both lines are not opposite reciprocals.

Hence, the true statement is (c)

Read more about right triangles at:

brainly.com/question/17972372

7 0
2 years ago
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