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gizmo_the_mogwai [7]
3 years ago
7

five times the difference of a number and three is the same as three increased by five times the number plus 3 times the number

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0
Yes Yes Yes Yes Yes 63
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In general, f−1(f(x)) = f(f−1(x)) =
Anestetic [448]

Answer:

f−1(f(x)) = f(f−1(x)) = x

Step-by-step explanation:

Follow this simple example using the function f(x) = x + 2

f(x) = x + 2

NOw we find the inverse function f^(1)(x).

y = x + 2

x = y + 2

y = x - 2

f^(-1)(x) = x - 2

The inverse function is f^(-1)(x) = x - 2

Now we do the two compositions of functions:

f^(-1)(f(x)) = x + 2 - 2 = x

f(f^(-1)(x)) = x - 2 + 2 = x

Both are equal to x.

Answer: f−1(f(x)) = f(f−1(x)) = x

5 0
3 years ago
Read 2 more answers
What two numbers multiply to 6 but add up to -1?
Artyom0805 [142]

Answer:

-3 and 2

Step-by-step explanation:

7 0
2 years ago
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Malia did push-ups and pull-ups in her physical education class. She did 24 push-ups and pull-ups combined, with each push-up ta
Paul [167]

Answer:

12 pull

As 48 seconds + 20 seconds push = 68 seconds

Step-by-step explanation:

Because she did 10 push = 20 seconds = 2 seconds each

12 pull = 48 seconds  = 4 seconds each

= 68 seconds combined.

Workings;

18 seconds found for the first set

We then find a divider of 68 and know that

6 x 3 = 18 seconds push

12 x 3 =36 seconds pull  T= 54

14 left over = 1 x 12 seconds pull

+ 2 seconds push

= 10 push = 20 seconds combined.

= 12 pull = 48 seconds combined.

6 0
3 years ago
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Sam has 3/4 of a can of hot chocolate mix. To make a cup of hot chocolate, Sam adds hot water to one scoop of mix. The scoop hol
Mashutka [201]
Sam could make 18 cups
3 0
3 years ago
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The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items
Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

C(0) = 10(0) + 500 = 0 + 500 = 500

b. For zero items produced, cost will be-

C(25) = 10(25) + 500 = 250 + 500 = 750

c. If C(x)_{max} = 1500

10x + 500 = 1500\\10x = 1000\\x = 100

∴ domain for cost function will be [0,100] and range will be 100

7 0
3 years ago
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