Question

F(x)=x^2+1 g(x)=5-x (f-g)(x)=

Answer 1

x^2-x+6

Explanation:

For any two functions f(x) and g(x),

(f+g)(x) is the sum of f(x) and g(x). That is,

(f+g)(x)= f(x)+g(x).

=(x^2+1)+(5-x)

=x^2-x+6

Answer 2

Given

`f(x)=x^2+1,\text{ g(x)=5-x}`

Then, (f-g)(x) can be found as,

`\begin{gathered} (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=x^2+1-(5-x) \\ (f-g)(x)=x^2-4+x \\ (f-g)(x)=x^2+x-4 \end{gathered}`