Question

for the given functions f and g, find the indicated composition.
f(x)=17x^2-10, g(x)=19x-10
a) (fog)(x) b) (gof)(-3)

Answer 1

can someone please show the steps for this question?

Answer 2

a) f(g(x))=17(19x-10)^2-10
=17(361x²-380x+100)-10
=6137x²-6460x+1690

not shure =/

Answer 3

you put the 'g' values for 'x' in the place of 'x' in 'f'

Answer 4

what about the (-3)?

Answer 5

b) g(f(x))=19(17x²-10)-10
if x=3 => 19(143)-10
=2717-10
=1707

Answer 6

for x= -3, sorry. the answer is still the same

Answer 7

2707, sorry

Answer 8

thanks alot, but how can I get a final answer on the first part?

Answer 9

can i simply imput that into a calculator?

Answer 10

wow, I get 37,657,999 is that correct? It seems like to large of a number.

Answer 11

only if you have a number to 'x'. in this case, the aswer is the function.

Answer 12

there is no number because there isn't a value for x.

Answer 13

forgot to use the x
sorry

Answer 14

Are you sure that is the correct final equation?

Answer 15

not SHURE, but shure ^^"

Answer 16

did u understand the principle?
I think it's the most important thing =D

Answer 17

yes, but I not sure why the "x" shows up in the first part, but not the second part

Answer 18

because in the second part, it gives you the '-3'. when it should says f(x), it says f(-3). So you put the number in place of 'x'.

Answer 19

got it, thank you very much. Do you have time for another(but different )problem?
If you want me to post to everyone, thats o.k too

Answer 20

better post to everyone ^^" it's 11 PM here. going to sleep ;D

Answer 21

no problem, thanks again

Answer 22

u're welcome