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Answer:
The domain is
The range is
Step-by-step explanation:
we have
<em>Find the domain</em>
Remember that
The domain of a function is the set of all possible values of x
we know that the radicand of the function must be greater than or equal to zero
so
solve for x
therefore
The domain is
<em>Find the range</em>
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
For x=7
The value of y is equal to
so
The solution for y is the interval [1,∞)
therefore
The range is
f ( - 2 ) = 5 × 3^( - 2 )
f ( - 2 ) = 5 × 1/9
f ( - 2 ) = 5/9