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VLD [36.1K]
2 years ago
7

Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a

simple how-to)
1. f(x)
4x and g(x) = x/4
Mathematics
2 answers:
Elena-2011 [213]2 years ago
6 0

Answer:

  • Yes

Step-by-step explanation:

<u>Given:</u>

  • f(x) = 4x
  • g(x) = x/4

<u>Find the following:</u>

  • f(g(x)) = 4*g(x) = 4*x/4 = x
  • g(f(x)) = f(x)/4 = 4x/4 = x

Since f(g(x)) = g(f(x)) = x, the functions are inverses of each other.

seropon [69]2 years ago
4 0
  • f(x)=4x
  • g(x)=x/4

\\ \sf\longmapsto f(g(x))=4(x/4)=x

\\ \sf\longmapsto g(f(x))=4x/4=x

  • f(x) and g(x) are inverse of each other
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Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

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3 years ago
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