Question

Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range?

Answer 1

The domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

According to the given question.

We have a quantity $\frac{3x^{2} +x-4}{x-1}$

So, we can say that we have a function, let f(x) such that

$f(x) = \frac{3x^{2} +x - 4}{(x-1)}$

As we know that, the set of all the input values for which our function is defined is called the domain of the function.

And the set of values we get for the input values is called the range of the function.

Here, the our function is not defined for x = 1.

Because if we put x = 1, we get denominator 0. And we know that something / 0 is not defined.

So, we can input any real numbers for x in function f(x) except 1. Because at x = 1 our function is not defined.

Therefore, the domain of the given function f(x) is all the real numbers except 1.

And, if we input all the real numbers in function f(x)  we get only real numbers as an output. Therefore, the range of the given quantity or function is real numbers.

Hence, the domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

Find out more information about domain and range of the function or quantity  here:

brainly.com/question/28135761

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