Question

Let f(x) = -2x + 4 and g(x) = -6x - 7 Let f(x) - g(x)-2x + 4 -6x -7 = -8x -3After this, do you just solve for x, or what are the next steps?

Answer 1

The subtraction of functions is given by:

`(f-g)(x)=f(x)-g(x)`

Then, we have:

`\begin{gathered} f\mleft(x\mright)=-2x+4 \\ g\mleft(x\mright)=-6x-7 \\ (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=-2x+4-(-6x-7) \\ (f-g)(x)=-2x+4+6x+7 \\ \text{ Add similar terms} \\ (f-g)(x)=4x+11 \end{gathered}`

Therefore, the result of subtracting the given functions is:

`(f-g)(x)=4x+11`