Question

WILL GIVE BRAINEST if f(x)=2x-5 and g(x)=x2.....

Answer 1

Note that the notation $(f+g)(x)$ is just another way of writing $f(x)+g(x)$. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:

$f(x)=2x-5\\g(x)=x^2-4x-8$

Which means that

$(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)$

And from there, it's just a matter of combining like terms to simplify.