Question

What is the domain and range for the following function and its inverse?

f(x) = x2 + 3

Answer 1

Function:
f(x) = x² + 3
The domain is the maximum and minimum values of x that can be put into a function to yield another value. In this case, the domain is negative infinity to positive infinity
D = (∞,-∞)
The minimum value of the function is when x is 0
The minimum value is 3
The maximum value is ∞
Therefore, the range is [3 , ∞)
For the function's inverse, the original domain will become the range and the original range will become the domain.