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Bogdan [553]
3 years ago
6

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0
Hello : 
<span>f(x) = 4x − 5 and g(x) = 3x + 9
</span><span>(f + g)(x) = f(x) +g(x) = (4x-5) +(3x+9)
</span><span>(f + g)(x) =7x +4
</span><span>(f ⋅ g)(x) = f(x) × g(x) = (4x-5)(3x+9) = 12x² +36x -15x-45
</span>(f ⋅ g)(x) = 12x² +21x -45
<span>f[g(x)] = f(3x+9) = 4(3x+9) -5
</span><span>f[g(x)] = 12x +31</span>
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“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this
Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

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Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

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