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Doss [256]
2 years ago
10

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​

Mathematics
1 answer:
JulijaS [17]2 years ago
5 0

Answer:

g(x) = \frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = \frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}

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Answer:

the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:

example :

x+y=10

y=10-x ( value of y)

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2x+10-x=12 ( now solve for x)

x=12-10

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8 0
3 years ago
Given the following similar triangles,what is the area of triangle B
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Step-by-step explanation:


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3 years ago
Please answer this :(​
mojhsa [17]

Answer:

68.9°

Step-by-step explanation:

Using Sine rule

x/sin X = y/sin Y

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X = arc sin (4.5 × sin 56/4)

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4 0
3 years ago
A square lawn has area 98 ft². A sprinkler placed at the center of the lawn sprays water in a circular pattern as
torisob [31]

The radius of the circle exists approximately 4.95 feet.

<h3>How to estimate the radius of the circle?</h3>

Given the area of the square as A = 98 ft²

The side length of the square choice is equivalent to the diameter of the circle.

First, we must obtain the length of the square.

Area of a square = L^2

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L = √98

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Thus the diameter of the circle exists at 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Therefore the radius of the circle exists approximately 4.95 feet.

To learn more about the radius of circle refer to:

brainly.com/question/19568457

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2 years ago
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If you graph 4 separate triangles with the four different points, (2,3) and (1,5) form a right triangle.
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3 years ago
Read 2 more answers
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