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Gelneren [198K]
3 years ago
9

Find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

9514 1404 393

Answer:

  (f/g)(x) = 1/(2x)

  x ≠ 1/2

Step-by-step explanation:

  (f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

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For the functions f(x) = 4x + 7 and g(x) = -9x + 11, find f(g(0)). For the functions f(x) = 3x2 - 7 and g(x) = -3x2 + 4, find f(g(2)). (Do NOT put commas in large numbers.)
3 0
3 years ago
Someone please help
OLEGan [10]

Answer:

e= -2

Step-by-step explanation:

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4 0
3 years ago
Chris has a job selling newspapers every morning. He receives a base pay of $10 per day and also gets 15 cents for every paper h
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6 0
3 years ago
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If you had 3.5 gallons of gas, how far could you travel?
Nostrana [21]

Answer:

It would depend on how many miles per gallon your car gets

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As a general rule, most cars have about 2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles.

5 0
3 years ago
Owen’s bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet, what is the width
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Perimeter of a rectangle is given by (2 × Length(l)) + (2 × Width(w)) = 2l + 2w

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3 years ago
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