A: given f(x) = x^2 + 16 - 24 and g(x) = x^2 - 5x - 17, find (f+g)(x), then find (f+g)(3)

(possible answers for (f+g)(3): 2x^2 + 11x - 41 or 2x^2 + 11x - 7)

b: given f(x) = 4x^3 - x^2 - 68x + 35 and g(x) = x^3 + 4x - 11, find (f - g)(x), then find (f - )

(possible answers for (f-): 3x^3 - x^2 - 72x + 46 or 3x^3 - x^2 -64x +24)

show work if possible for you : )

Step-by-step explanation:

A. Knowing that the functions are:

You need to add them in order to find . Then, you get:

To find:

Substitute into and evaluate.

Then, this is:

B. The functions f(x) and g(x) are:

You need to subtract them in order to find :

To find:

Substitute into and evaluate.

Then, this is:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.