Question

find g[h(x)] and h[g(x)] if g(x)=2x and h(x)=x^3+x^2+x+1

Answer 1

g(h(x)) means sub h(x) into g(x)
2(x^3+x^2+x+1)

Answer 2

h(g(x)) means sub g(x) into h(x)

Answer 3

how would i set up the h[g(x)]? I have h(2x) so far

Answer 4

everywhere there is an x just write (2x) put it in ( ) in case you have exponents.

Answer 5

set it up and I will check it for you

Answer 6

what would i fill in for h. for h(2x) it said the answer is 8x^3+4x^2+2x+1

Answer 7

yes, you are correct

Answer 8

so what would I plug in for h?

Answer 9

you are done
g(h(x)) is g(2x)
that is your composition
I would not write h(2x)

Answer 10

I need to solve h(g(x))

Answer 11

\[h(g(x))=8x^3+4x^2+2x+1\]
nothing to do it

Answer 12

I got it! in ever place in the formula x^3+x^2+x+1. i would plug in 2x for x

Answer 13

thank you!
i just couldn't figure out how they got that answer