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).
