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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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Given:
bekas [8.4K]

Answer:

x = -4/9

Step-by-step explanation:

X + B = C

x + (-8/4) = (22/-9)

x = (8/4) - (22/9)

x = 2 - 22/9 = 18/9 - 22/9 = -4/9

3 0
3 years ago
Read 2 more answers
Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3
Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

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= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0
3 years ago
How do you answer this question 3/4b +10=20
noname [10]
1) move the 10 over
So it becomes
3/4b = 10
2) multiply everything by 4 to get rid of the denominator
2b = 40
3) divide both sides by 2
b = 20
7 0
3 years ago
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How do you factor x squared minus 100
Alina [70]

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Hence

x² - 100

= x² - 10² = (x - 10)(x + 10)

6 0
3 years ago
Herman already has 1 sticker, and he will get 33 additional stickers from each sticker pack he buys.
adell [148]

Answer:

Herman needs to buy 3 sticker packs to have a total of 100 stickers.

Explanation:

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99 + 1 = 100

4 0
3 years ago
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