<u>Answer:</u>
The domain and range of the given function are and
<u>Solution:</u>
Given, function is f(x) =
f(x) is a polynomial, so there exists no value of x, such that the function becomes undefined, which means the domain of the given function extends from to
Domain of f(x) =
Now, we need to find the range of f(x).
f(x) = .Here, x is in square term (i.e. )
So for any range of values of x, the value of will always be in the range of 0 to ∞
Numerical term 113 which is product with will have no effect on range.
Because and so the range of function is still 0 to ∞
Second numerical term 4 which is in addition with will change the range of function.
Because, 0 + 4 = 4, and ∞ + 4 = ∞
So, the range of the given function f(x) is 4 to ∞
Hence the domain and range of the given function are and