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boyakko [2]
2 years ago
13

If f(x)=(x-3)/x and g(x)=5x-4 what is the domain of (fOg)(x)

Mathematics
1 answer:
Leni [432]2 years ago
3 0

(fog) (x) = (5x - 7) / (5x - 4)

The denominator cannot be zero so the domain is All real x except x = 4/5

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A rental car company charges $31 per day to rent a car and $0.13 for every mile
lord [1]

Answer:

The number of days is at most 5 days

= d ≤ 5 days

Step-by-step explanation:

A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

At most means Less than or equal to $220

The inequality for expressing this = ≤

Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.

$31 × d + $0.13 × 500 miles ≤ $200

The inequality is given as:

31d + 65 ≤ 220

Solving further

31d ≤ 220 -65

31d ≤ 155

d ≤ 155/31

d ≤ 5

Therefore, the number of days is at most 5 days

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2 years ago
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8 0
3 years ago
What is the midpoint of coordinates (6, 1) and (9, -3)?
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Answer:

(7.5, -1)

Step-by-step explanation:

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The point (3,-2) is rotated 90º counterclockwise about the origin and then dilated by a scale factor of 4. What are the coordina
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Step-by-step explanation:

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