URGENT! FAST REPLY PLS! State the excluded domain values of:
G(x)= 2x^2 +3x / x^2 + x -6
Work included please

Step-by-step example explanation:

DOMAIN:

{

x

∣

x

≠

3

2

}

RANGE:

{

y

∣

y

≠

3

2

}

Explanation:

The domain consists of all numbers you can legally plug into the original. The excluded "illegal" values would be dividing by zero or negatives under square roots.

This expression has a denominator, so there is a risk of illegally dividing by zero. This would happen only if

2

x

−

3

=

0

2

x

=

3

x

=

3

2

This means that

x

=

3

/

2

is excluded from the domain. Therefore,

Domain: All real numbers except

x

=

3

/

2

. More formally, you could state the domain as

{

x

∣

x

≠

3

2

}

.

For rational functions, you find the range by evaluating the degree of the numerator compared to the degree of the denominator. If the degree of the top > degree of bottoms, then you have a horizontal asymptote at

y

=

0

. If they are equal, you have a horizontal asymptote. The coefficient of highest degree in the numerator is divided by the coefficient of the highest degree on the bottom. The result is

y

=

that fraction. So in our case, you have a horizontal asymptote at

y

=

3

2

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1