Question

Given f(x) = x - 2 and g(x) = 6-2x, find (f + g)(-2).

Answer 1

Given:

`\begin{gathered} ​f\mleft(x\mright)=x​-2​ \\ g\mleft(x\mright)=​6-2x \end{gathered}`

To find: (f+g)(-2):

Let us find (f+g)(-2).

`\begin{gathered} (f+g)(-2)=f(-2)+g(-2)_{} \\ =-2-2+6-2(-2) \\ =-4+6+4 \\ =6 \end{gathered}`

Hence, the value of (f+g)(-2) is 6.