Question

If f (x) = x/2 - 3 and g(x) = 4 x^2 + x-4, find (f+g)(x).

Answer 1

The sum of the two functions can also be expressed as follows;

• $(f+g)(x)=f(x)+g(x)$

This is not a difficult process. We just put the terms of the two functions together.

We have to be careful to add or subtract the coefficients of similar terms, taking into account their signs.

• $f(x)=\frac{x}{2}-3$
• $g(x)=4x^2+x-4$
• $(f+g)(x)=f(x)+g(x)$
• $(f+g)(x)=4x^2+x+\frac{x}{2}-7$