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mel-nik [20]
3 years ago
7

Function Composition:

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

<u>Given</u>

  • f(x) = 3x + 2
  • g(x) = (x + 3) / (2x - 10)

#1

  • g · f(x) =
  • g(f(x)) =
  • (3x + 2 + 3)/ (2(3x + 2) - 10) =
  • (3x + 5) / (6x - 6)

#2

  • f · g(x) =
  • f(g(x)) =
  • 3[(3x + 2) / (2x - 10)] + 2 =
  • (9x + 6) / (2x - 10) + 2 =
  • (9x + 6 + 4x - 20)/ (2x - 10) =
  • (13x - 14) / (2x - 10)

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In ΔIJK, i = 180 cm, ∠J=89° and ∠K=38°. Find the length of k, to the nearest 10th of a centimeter.
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Answer:

138.8 cm

Step-by-step explanation:

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4 years ago
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A line passes through (2,-1) and (4,5)
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Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (2,-1) and (4,5),

y2 = 5

y1 = - 1

x2 = 4

x1 = 2

Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3

To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes

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The equation becomes

y = 3x - 7

5 0
3 years ago
Solve the equation and check the solution 7/80=-1/8g​
algol13

Answer:

Exact Form: g= -7/10

Decimal Form: g= -0.7

Step-by-step explanation:

Hope this helped

7 0
4 years ago
Which mixed number is equal to 27/6? 2 7/6 3 4/6 4 3/6 6 2/7
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Answer:

Expressed as a mixed number in its simplest form, 27/4 is equal

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Step-by-step explanation:

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3 years ago
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