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Zina [86]
3 years ago
7

If ƒ(x) = x + 2 and g(x) = 3x2 + 7x, find ....

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

The correct answer is option C

(f o g)(x) = 3x² + 7x + 2

Step-by-step explanation:

<u>Points to remember</u>

<u>Composite functions</u>

Let f(x) and g(x) be the two functions then (f o g)(x) can be written as

(f o g)(x) = f(g(x))

<u>To find the value of (f o g)(x)</u>

Here f(x) =x + 2  and g(x) = 3x² + 7x

(f o g)(x) = f(g(x))

 = f(3x² + 7x)

 = 3x² + 7x + 2

Therefore the correct answer is option C

(f o g)(x) = 3x² + 7x + 2

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Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
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ANSWER

• Circumference: 18.84 ft

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• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

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In this case, the radius is r = 3 ft and we have to use 3.14 for π,

C=2\cdot3.14\cdot3ft=18.84ft

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In this case, r = 3 ft and π = 3.14,

A=3.14\cdot3^2ft^2=28.26ft^2

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