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3 years ago

Find the domain of f(x) = 3x + 5

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Answer:

All real numbers

Step-by-step explanation:

All real numbers: f(x) is defined for all values of x. There are no discontinuities or places where f(x) is undefined. f(x) is just a straight line going to infinity.

monitta3 years ago

6 0

Answer:

(-infinity, infinity), or all real numbers

Step-by-step explanation:

If you were to look at it graphically, it would be a linear function with a slope of 3 and shifted up 5 units. (i attached a screenshot of what the graph would look like at the bottom :)

since there are no domain restrictions, you're not really going to have any issues or gaps which is when you might need to do something like

(-infinity,4] u(5,inifinity) --> since this isn't the case though, you're totally free to just write all real numbers, because all real numbers in the x-plane (as that is what domain looks at) are included.

When all else fails, (at least for homework), desmos is great for graphing and looking at everything visually

Hope that helps! lmk if you have any questions :)

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Step-by-step explanation:

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Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included. Infinity always uses a parenthesis since it is not an actual number.

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