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Cloud [144]
2 years ago
9

1. determine if the functions are inverse functions

Mathematics
1 answer:
kirill115 [55]2 years ago
5 0

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

\implies x=-\dfrac13y-3

Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

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Answer:

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Step-by-step explanation:

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3 years ago
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John drives at an average speed of 40 miles per hour for the first 5 hours of the 655 mile trip to buffalo. Charlie then drives
Elodia [21]
65mph

John drove a total of 200 miles (40mph•5)
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5 0
2 years ago
Keira , larry and gita picked apples at an orchard. keira picked twice as many pounds as larry and 3 times as many as gita. the
Natalija [7]
Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
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G = K/3
   = 4560/3
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Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple
7 0
2 years ago
Jenna can buy 5 golf balls at Golf Central for $9.20 or 4 golf balls at Strictly Golf for $7.60. Jenna wants to buy 20 golf ball
Sophie [7]

Answer:

$1.20

Step-by-step explanation:

9.20 x 4 = 36.8

7.60 x 5 = 38

38 - 36.8 = 1.20

8 0
2 years ago
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Well if I did the right calculations... Kim is 24. The sister is age twelve! Hope I helped.

A. K+S=36

B. Well Simple Addition and Subtraction solves this easily. If you Add 12+12 it equals 24. It still needs to be larger so that Kim is twice as old as her little sister. So you Add another 12 which gives you 36. Or you can easily subtract 12 from it and that will also bring you to 24.

6 0
2 years ago
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