Question

F(x) = 3x-1 and g(x)=2x^2

Answer 1

Answer:

See below

Step-by-step explanation:

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

$(3x-1)(2x^{2} )=6x^{3}-2x^{2}$

b.  here you are to subtract g from f:

$(3x-1)-(2x^{2})=-2x^{2}+3x-1$

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:

$3(2x^{2} )-1=6x^{2} -1$

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:

$2(3x-1)^2$

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

$2[(3x-1)(3x-1)]$

which gives you

$2(9x^{2} -6x+1)$

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

$18x^{2} -12x+2$