Question

f[g(2)]=
f[h(3)]=

Answer 1

f(x)=2x, g(x)=3x-2, h(x)=x^2-4

Answer 2

First calculate g(2) this is done by substituting 2 for x in g(x)
g(2)= 3(2)-2=6-2=4. Now you substitute that value in the f(x).

Answer 3

f[g(2)=f(x)=2(4)=8 Here we are now substituting for x in f(x) our new found value of g(2).
For the first one the solution is 8. The next one is very similar except you are going to use h(2) in f(x)=x^2-4.

Answer 4

f(2)=2^2-4

Answer 5

h2=0

Answer 6

h=0

Answer 7

As before we first find h(x) for h(3) by replacing the x in h(x) with 3, or h(3)=3^2-4
h(3)=9-4=5 did you follow that.

Answer 8

Oh ya

Answer 9

Now our new found value of 5 is substituted in the f(x)=2x giving us f(5)=2x=2(5)=10 substituted our new found value 5 for the x in f(x)=2x

Answer 10

That is how the second one can be done. Please review the above and ask questions if you have any. Don't just say I'm confused lol.

Answer 11

oh,Sorry.

Answer 12

2(5)=10

Answer 13

Did you follow with understanding?

Answer 14

Not sure.

Answer 15

I'm pretty stupid.

Answer 16

Yes 10 was the solution of the second one

Answer 17

Oh yay!

Answer 18

If you were stupid you couldn't play the trumpet.

Answer 19

lol, no that's just my talent.

Answer 20

I think you are getting a handle on these things. I must admit when you first start doing them they seem very convoluted, but eventually you will see why you are learning these problems with functions.

Answer 21

Have you ever heard the expression, "ours is not to wonder why, but just to do or die."

Answer 22

no

Answer 23

I think that has more of a military context, but is a little bit appropriate. Good luck with them.