# functions: find domain and range of f(x) = x^2 - 49

#### gierhame

##### New member
How do you find the domain and range of the function of x[sup:1khd9uk1]2[/sup:1khd9uk1]-49?
I don't really understand how to do this.

#### gierhame

##### New member
Re: functions

I know that i it has something to do with the number 7;
could you explain the process maybe with another problem. I just don't know how to find it with an equation.

#### Mrspi

##### Senior Member
Re: functions

gierhame said:
I know that i it has something to do with the number 7;
could you explain the process maybe with another problem. I just don't know how to find it with an equation.
I'm a bit confused... you mention an "equation" but I don't see one here.

Do you mean

f(x) = x[sup:2c6u8cwo]2[/sup:2c6u8cwo] - 49

Or do you mean something else.

The domain of a function consists of all values for the independent variable (x, in this case) for which the function definition is meaningful.

If

f(x) = x[sup:2c6u8cwo]2[/sup:2c6u8cwo] - 49

f(x) is defined for ANY real number value of x. No matter what real number you pick for x, x[sup:2c6u8cwo]2[/sup:2c6u8cwo] - 49 has a real number value.

Staff member