Question

Find (f+g)(x),(f-g)(x),(f*g)(x), and (f/g)(x) for each f(x) and g(x)

Now we were working well on this until we got to this f(x) and g(x). This was something our teacher didn't bring up.

f(x) = 8x^2
g(x) = 1/x^2

How would you go about solving the problem with the fraction as g(x)? I just need explaining on the steps of working with the fraction, then I'll be able to work it out. No answers please.

Answer 1

(f+g)(x) = 8 x^2 + 1/x^2
(f-g)(x) = 8 x^2 - 1/x^2

f [g(x)] = f (1/x^2) = 8(1/x^4) = 8/x^4

f [1/g(x)] = f (x^2) = 8 x^4

Answer 2

Thank you for the help! I understand the concept of it now!