Question

ok, here is a good one for you...

Given F(x)=sqrt(x+2) and g(x)=2x+1 determine (F-G)(x)

Answer 1

When I did F(g(x)) I got sqrt(2x+3)

Answer 2

(F-G)(x)=F(x)-G(x)=sqrt(x+2)-2x-1

Answer 3

the other way around I am sitting at \[2(\sqrt{x+2})+1\]

Answer 4

so am I doing this right then?

Answer 5

?

Answer 6

Why did you do F(g(x))?

Answer 7

because I thought you had to substitute the values of G into the F function and then reverse it. I know I did that during my homework (this question is on my mid-term).

Answer 8

If you have (FoG)(x) but if you have (F-G)(x) its different. Why reverse it? o.o

Answer 9

yeah yeah.... the first one, I just wrote it wrong, sorry!

Answer 10

so am I doing this properly?

Answer 11

For FoG yes :)

Answer 12

The first one sqrt(2x+3)

Answer 13

sweet, thanks!

Answer 14

can that second one be taken down further?

Answer 15

You could make it sqrt(4x+8)+1. (just putting the 2 back in the sqrt) but other than that no. I would leave the 2 out of it.

Answer 16

ok, cool... you rock, thanks!

Answer 17

No problem :P