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Ganezh [65]
3 years ago
5

Question 3 (1 point)

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0
Answer is b have a good day too enjoy the answe
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A function is given:
IceJOKER [234]

Answer:

See explanations below

Step-by-step explanation:

Given the function

f(x) = 3x+12

Let y = f(x)

y = 3x+12

Replace y with x

x = 3y+12

Make y the subject

3y = x-12

y = (x-12)/3

Hence the required inverse is!

g(x) = (x-12)/3

b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))

f(g(x)) = f((x-12)/3)

Replace x in f(x) with x-12/3

f(g(x)) = 3(x-12)/3 +12

f(g(x)) = x-12+12

f(g(x)) = x

Similarly for g(f(x))

g(f(x)) = g(3x+12)

g(f(x)) = (3x+12-12)/3

g(f(x)) = 3x/3

g(f(x)) = x

Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other

c) Given f(g(x)) = x

f(g(–2)) = -2

The domain is the input variable of the function. Hence the domain is -2

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9n + 8 = 27 rounded to the nearest hundredth:
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Use algebra.......such as remember PEMDAS do that :)
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Read 2 more answers
In a closed box there are 7 blue balls and 5 red balls. Randomly pick one from the box one at a time until the ball is green, th
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Answer:

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Step-by-step explanation:

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