I need help on multiplying and dividing functions. I've seen videos and read and read examples but I still don't get it. I did the last problem which looked like an example I had read but I still don't know if I did it right: f(x)=2x+1

Question

g(x)=3X+2
F(3)/g(2)= F(3)=2(3)+1=7
G(2)=3(2)+2=8
f(3)/g(2)=7/8=0.875
seems wrong, I did one more and I got this: f(x)=2x
g(x)=3x^3
f(x)/g(x)=f(x)=2(x)
g(x)=3x^3
then from there I don't know what to do or even if I did it right. Can anyone help me solve these and I'll use them as examples for the rest.

Answer 1

f(x) = 2x+1 , g(x) = 3x+2
f(3) / f(2) = 7/8

then if
f(x)=2x , g(x)=3x^3
f(x)/g(x)=2x/(3x^3) = 2/3x^2

end of problem, how easy was that

Answer 2

Note that f(2) does not mean f*2 where f has some intrinsic value.

If f(x) = 2x+1

f(2) is a signle number, obtained by replacing all the x's with 2's:

f(2) = 2*2+1 = 5

The confusion arises due to using () both for multiplication of numbers and containing the argument of a function.

f(2) is read f of 2, nit f times 2.