F(x) = 3x-1 and g(x)=2x^2
a. find (f g) (x).
b. find (f-g) (x).
c. find f(g(
d. find g(f(

See below

Step-by-step explanation:

a.  here you are to multiply the two functions together:

b.  here you are to subtract g from f:

c.  here you are to compose g into f.  In other words, pick up the whole g function and plug it into f wherever you see an x:

d.  here you are compose f into g.  In other words, pick up the whole f function and plug it into g wherever you see an x:

You now have to FOIL out the (3x-1) like so:

which gives you

Distribute in the 2 and you'll end up with the

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: