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Sav [38]
3 years ago
11

Given the functions,f(x)= 3x - 2 and g(x) =

Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

1) f(g(x))=x

g(f(x))=x

2) f(x) and g(x) are inverses of each other.

Step-by-step explanation:

The given functions are :

f(x) = 3x - 2

and

g(x) =  \frac{x + 2}{3}

1) We want to find:

f(g(x)) \: and \: g(f(x))

This implies that:

f(g(x)) = f( \frac{x + 2}{3})

We substitute into f(x) to get:

f(g(x)) =  3( \frac{x + 2}{3}) - 2 \\f(g(x)) =  x + 2- 2 \\ f(g(x)) =  x

Also,

g(f(x)) =  g(3x - 2) \\ g(f(x)) =   \frac{3x - 2  + 2}{3}  \\ g(f(x)) =  \frac{3x}{3}   \\ g(f(x)) = x

2) Since the composition of the two functions:

f(g(x)) = g(f(x)) = x

f(x) and g(x) are inverses of each other.

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Step-by-step explanation:

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3 years ago
A lender will verify and carefully consider your income before approving you for a loan because _____. A. They need to be sure y
Anestetic [448]

They need to be sure you will be able to pay the loan back. Then the correct option is A.

<h3>What is decision-making?</h3>

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B. Government restrictions require a minimum salary to be approved for a loan. This is incorrect.

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More about the decision-making link is given below.

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6 0
2 years ago
Elena's bed measures 80 cm by 120 cm on the scale drawing. What are the actual measurements of her bed?
Semenov [28]

Answer: 9600cm

Step-by-step explanation: 120

*80

9600

3 0
3 years ago
The area of each book is 63 in2. The height of the stack is 15.75 inches. What is the volume of the stack of books?
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4 0
3 years ago
Read 2 more answers
2[18-(5+9)÷7]<br>show how you did it
Alex777 [14]
Order of operations

PEMDAS
do parntheases
then exponents
then mutiply or divide, whichever coms first
then addd or subtract, whichever comes first

so

when doing parenthases, simplify innermost parenthsees first

so

2(18-(5+9)/7)
innermost is (5+9)=14

now we gots
2(18-(14)/7)
we can distribute or multiply the invisible -1 in front of the 14

2(18-14/7)
now divide because division comes before adition
remember that it is -14/7, not just 14/7 because the negative is part of the 14

2(18-2)

now simplify parenthasees
18-2=16
so

2(16)
multiply
32

the result is 32
5 0
4 years ago
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