Question

Find h(f(x)), in terms of x for the following functions, given that: f(x)= x^2 + x
h(x)= x/1-x

Answer 1

Alright, let's see if I remember how to do these... ready to work on this together?

Answer 2

yes

Answer 3

h(f(x)) means plug the function f(x) into the function h(x) as the input.

So, h(f(x)) = h(x^2+x)...

Answer 4

Replace x in the h(x) function with x^2+x :)

Answer 5

Alright, first thing we want to do is understand what h(f(x)) means.

Answer 6

What this means is "do f(x) first, and then plug that into h(x)"

Answer 7

Does that make sense?

Answer 8

yeah so i get x^2+x/1-(x^2+x)

Answer 9

Perfect.

Answer 10

but then how would i simplify it?

Answer 11

I'll have to grab some pen and paper. I'll be right back.

Answer 12

you don't really need to much. best you can get is\[(x^{2}+x)/(1-x-x^{2})\]after distributiong the negative on the bottom

Answer 13

the denominator doesn't factor, so you can't go any further.

Answer 14

also, did my answer to your other problem help, jerni?

Answer 15

Yep, mtbender's correct. It *can* be modified a bit, but this is as condensed as we can make it.

Answer 16

personally, i'd leave it without distributing the negative. needless "simplification" when it doesn't get you anything is just a waste of time and opens the door for errors. :)

Answer 17

yes it did thank you:)

Answer 18

my pleasure. :)

Answer 19

ah i get it now thank you guys so much!