Question

1. What is the domain and range for the following function and its inverse? f(x) = x² +3​

Answer 1

Explanation:

x^2 + 3

The domain is All Real x and the range is f(x) ≥ 3.

Find its inverse:

y = x^2 + 3

x^2 = y - 3

x = √(y - 3)

So f-1(x) = √(x - 3)

The domain is x ≥ 3 and range is f(x) ≥ 0.