# What is the domain and range of #f(x) = x^2 + 4x – 6#?

##### 1 Answer

Domain:

Range:

#### Explanation:

is valid for all Real values of

and therefore the Domain is all Real values i.e.

To determine the Range, we need to find what values of

Probably the simplest way to do this is to generate the inverse relation. For this I will use

Reversing the sides and completing the square:

Re-writing as a square and adding

Taking the square root of both sides

Subtracting

Assuming that we are restricted to Real values (i.e. non-Complex), this expression is valid provided: