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Pachacha [2.7K]
3 years ago
6

The Identity function i behaves just like the number 1. That is (F o i)=f and (i o g)= g

Mathematics
1 answer:
andrezito [222]3 years ago
3 0

I'll denote the identity function by \mathrm{Id}. Then for any functions f with inverse f^{-1},

\begin{cases}f\circ\mathrm{Id}=f\\\mathrm{Id}\circ f=f\\f\circ f^{-1}=\mathrm{Id}\end{cases}

One important fact is that composition is associative, meaning for functions f,g,h, we have

(f\circ g)\circ h=f\circ(g\circ h)

So given

h=f\circ g

we can compose the functions on either side with g^{-1}:

h\circ g^{-1}=(f\circ g)\circ g^{-1}=f\circ(g\circ g^{-1})

then apply the rules listed above:

h\circ g^{-1}=f\circ\mathrm{Id}=f

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This is what I've done so far but does anyone know what I do next or did I make a mistake
grigory [225]
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for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign

pemdas always applies
but also the commutative property and assiociative property

so
2(5y+13)-6<20
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divide both sides by 2 (easier that distributing)
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7 0
3 years ago
Help me out please please an thank you
Katena32 [7]

Answer:

29

Step-by-step explanation:

6 0
3 years ago
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There 80 visitors in a local restaurant. There are only two menu options today: chicken or fish. If 20% of the visitors ordered
djverab [1.8K]

Answer:

64 visitors (other 80%)

Step-by-step explanation:

20% of visitors of 80 visitors is 16

So.. 80 - 16 = 64 visitors.

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3 0
3 years ago
Evaluate the following expression:<br>p/-3 + (-8)= -8
aalyn [17]
P/-3+(-8)=-8
p/-3-8=-8
Add 8 to each side
p/-3-8+8=-8+8
p/-3=0
Multiply both side by 3
p/-3(3)=0(3)
p=0
Check:
p/-3+(-8)=-8
Substitute p with 0
0/-3+(-8)=-8
0-8=-8
-8=-8. As a result, p=0. Hope it help!
7 0
3 years ago
The 40 and 50 degree angles are?
olga55 [171]

Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

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