Question

F(x)=x2+3x g(x)=-2x+2 Find (f-g)(x)

Answer 1

Given the following functions:

`\begin{gathered} f\mleft(x\mright)=x^2+3x \\ g\mleft(x\mright)=-2x+2​ \end{gathered}`

You need to subtract the functions in order to find

`\mleft(f-g\mright)\mleft(x\mright)`

Then you can set up that:

`\mleft(f-g\mright)\mleft(x\mright)=(x^2+3x)-(-2x+2​)`

Therefore, now you distribute the negative sign and add the like terms (remember that like terms are those terms that have the same exponents and the same variables). Then, you get: