# How do you find the domain and range of #f(x) = (3x + 1)/ (sqrt(x^2 + x - 2) ) #?

The domain is

The range is

Consequently,

To determine the range, follow these steps:

Changing the order of this equation

balancing both sides

Moving things around

The person who discriminates is

graph{sqrt(x^2+x-2) [-28.87, 28.88, -14.43, 14.43]}/(3x+1)

By signing up, you agree to our Terms of Service and Privacy Policy

To find the domain of ( f(x) = \frac{3x + 1}{\sqrt{x^2 + x - 2}} ), we need to ensure that the denominator is not zero and that the expression inside the square root is non-negative. The domain is all real numbers except where the denominator is zero and where the expression inside the square root becomes negative.

To find the range, we first need to analyze the behavior of the function as ( x ) approaches positive and negative infinity. Then, we look for any horizontal asymptotes or restrictions on the function's values due to its behavior.

We find that the range of the function is all real numbers except for those values where the denominator approaches zero or where the function is undefined due to the square root of a negative number.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the range of the function #F(X) = X^2 + 4#?
- How do you simplify #-36 - ( -24) #?
- How do you find the range of #y = 3x-5#: given Domain = {0, 1, 2, 3}?
- How do you evaluate #x - 3y# if x = 3 and y = -2?
- A fraction becomes 9/11, if 3 is added to both the numerator and denominator. If 3 is added to both the numerator and denominator it becomes 5/6 as well. So what will be the original fraction?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7