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lana66690 [7]
3 years ago
13

What is the domain of f(x)=1/x-3

Mathematics
2 answers:
kirill115 [55]3 years ago
7 0

To find the domain of the function, we can solve for the zero of the denominator. The numbers that can’t be included are the ones that make the denominator equal zero.

x - 3 = 0

x - 3 + 3 = 0 + 3

x = 3

Therefore, the domain is all real numbers except 3.

Best of Luck!

wel3 years ago
3 0

Answer:

The domain is all real numbers except x=3

Step-by-step explanation:

Assuming you mean

f(x) = 1/(x-3)

The domain is all numbers that x can take

This function is define except when the denominator goes to zero

x-3 cannot be zero

x cannot be 3

The domain is all real numbers except x=3

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8090 [49]
Domain = Set of all real numbers, which is choice B
Range = Choice C) y \le 3

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.

The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore y \le 3 where y is a real number


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