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Amanda [17]
3 years ago
14

How do i find the following f(x)?? Pls help

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

  (a) (f+g)(x) = √(2x) +x²

  (b) (f-g)(x) = √(2x) -x²

  (c) (f·g)(x) = x²√(2x)

  (d) (f/g)(x) = (√(2x))/x²

Step-by-step explanation:

These are all about the meaning of the notation (f <operator> g)(x). When the operator is an arithmetic operation (addition, subtraction, multiplication, division), the notation means the same thing as ...

  f(x) <operator> g(x)

__

(a) (f+g)(x) = f(x) + g(x)

  (f+g)(x) = √(2x) +x²

__

(b) (f-g)(x) = f(x) -g(x)

  (f-g)(x) = √(2x) -x²

__

(c) (f·g)(x) = f(x)·g(x)

  (f·g)(x) = x²√(2x)

__

(d) (f/g)(x) = f(x)/g(x)

  (f/g)(x) = (√(2x))/x²

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One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
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Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

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Radius (r) =?

A = πr²

100π = πr²

100 = r²

Take the square root of both side

r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

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