Answer :

Answer:

In conclusion, the domain of the

function is all real numbers

except T = 0, and the range is

(-o,0) U (0, +o).

Step-by-step explanation:

1. **Domain**: The domain of a

function consists of all the

possible values of x for which

the function is defined. In this

case, the function involves a

square root in the denominator

of the second term. For a

function to be defined, the

denominator cannot be zero.

Thus, we need to find where

a 0 to avoid division by zero.

Therefore, the domain of the

function is all real numbers

except a = 0.

2. **Range**: The range ofa

function consists of all the

possible output values of the

function. To determine the

range, we need to analyze the

behavior of the function. The

first term, -2, represents a

downward-opening parabola,

which means the maxinmum

value it can attain is -o. The

second term,

285 as X

approaches positive or negative

infinity, approaches 0. So, the

range of the function is

(-oo, 0) U (0, +o).