How can these terms be combined: -2x + 11 + 6x - 5 *
1 answer:
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Answer:
The miles-per-gallon rating of this car is 20.83.
Step-by-step explanation:
This question can be solved by a rule of three.
What is the miles-per-gallon rating of this car?
How many miles for 1 gallon?
4.8 gallons are used for 100 miles. So
4.8 gallons - 100 miles
1 gallon - x miles
The miles-per-gallon rating of this car is 20.83.
As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have
As for the range, we have:
- The range of
are all real numbers
- If we change to
we're translating the function horizontally, so the range remains the same
- If we change to
we're stretching the function horizontally, so the range doesn't change
- If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.