Question

Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g. ​

Answer 1

• g(x)=x²+1

Domain:-

For any real x function is not undefined .

• Domain belongs to R

Codomain belongs to R+

Range:-

• x² always ≥0

Hence

• range=[1,oo)