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nataly862011 [7]
3 years ago
9

Let the domain and codomain of functions f and g be the set of integers, f(x) = 2x+3, g(x) = 3x+2 What is the composition of f a

nd g, and the composition of g and f, respectively? g
Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

Composition of f and g = 6x + 7

Composition of g and f = 6x + 11

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x + 2

f(g(x)) = 2(g(x)) + 3 = 2(3x + 2) + 3 = 6x + 4 + 3 = 6x + 7

g(f(x)) = 3(f(x)) + 2 = 3(2x + 3) + 2 = 6x + 9 + 2 = 6x + 11

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Answer:

(4x -2y)-( 2x-6y) = 2x-(-4y)

Step-by-step explanation:

only the same sign can be together. so you take the x first 4-2 which is 2x then you take the y signs 2-6 which would be -4 the full equation becomes 2x-(-4)

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4 years ago
What is the slope of the line that passes through the given points: (-2,8) and (4,6)?
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's find the slope :

taking :

  • y_2 = 6

  • y_1 = 8

  • x_2 = 4

  • x_1 =  - 2

now, we know the formula to find the slope, that is :

  • \dfrac{y_2 - y_1}{x_2 -x_1 }

  • \dfrac{6 - 8}{4 - ( - 2)}

  • \dfrac{ - 2}{ 6}

  • - \dfrac{ 1}{3}

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2 years ago
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Sydney is making bracelets 3 bracelets varies directly with the number of beads write an equation in the form of y=ax then find
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3 0
3 years ago
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angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH
motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

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3 years ago
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Serga [27]

Answer:

Step-by-step explanation:

2x - y > 4 ⇒ y < 2x - 4

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