Question

Let f(x)=-6 and g(x)=x^2. Perform the function operation and then find the domain of the result. (f-g)(x)

Answer 1

$\begin{gathered} (f-g)(x)=-6-x^2 \\ \text{Domain: all real numbers} \end{gathered}$

Explanation

Step 1

Let

$\begin{gathered} f(x)=-6 \\ g(x)=x^2 \end{gathered}$

hence

$(f-g)(x)$

would be

$\begin{gathered} (f-g)(x)=f(x)-g(x)=-6-x^2 \\ (f-g)(x)=-6-x^2 \end{gathered}$

Step 2

now, let's find the domain of the function:

The domain of a function is the set of all possible inputs for the function( the x values wher the function si defined),

the solution we got is a polynomious , The domain of a polynomial is the entire set of real numbers.

so, the answer is

Domain: all real numbers

I hope this helps you