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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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A color printer prints 12 pages in 5 minutes. How many minutes does it take per page?
ElenaW [278]

Answer:

2.4

Step-by-step explanation:

12/5 = 2 2/5 = 2.4

7 0
3 years ago
A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?
mote1985 [20]

Answer: The height of the tree is  27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = <em><u>270 /10 =27</u></em>

7 0
2 years ago
Original price $18 and percent of discount is 65% what is the sale price
liq [111]

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

7 0
2 years ago
Identify all of the following solutions of (square root of x+8)-6 =X
seropon [69]
Square root (x + 8) -6 = x
square root (x + 8)  = x -6
x^2 + 16x  + 64 = x^2 -12x + 36

28x = 48
x =  <span> <span> <span> 1.7142857143 </span> </span> </span>

None of the above

8 0
3 years ago
The sum of rational number and an irrational number
Angelina_Jolie [31]

Answer:

The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Step-by-step explanation:

However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

5 0
3 years ago
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