Question

Let f(x) = 3x2 – x + 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work.

Answer 1

Do you plug in g(x) in x2 and x?

Answer 2

you get f(g(x)) by replacing each x is f(x) by g(x)

Answer 3

* each x in

Answer 4

ok I have my work on my paper could you do it too so I can compare and see If I did it right?

Answer 5

ill medal and fan

Answer 6

3(5x^2 - 1)^2 - (5x^1 - 1) + 2

Answer 7

agreed?

Answer 8

yep

Answer 9

so far so good

Answer 10

what do you get for the next line?

Answer 11

75x^4-3-5x^2-1+2 that's what I get after I deal wit the parenthesis. Not sure if its correct though.

Answer 12

no you deal with the (5x^2 - 1)^2 first this is a binomial
= (5x^2 - 1)(5x^1 - 1)
first you multiply th e second parentheses vy the 5 x^2 then by the -1
so its

25x^" - 5x^2 - 5x^2 + 1
= 25x^2 - 10x^2 + 1

Answer 13

oh 'im making a lot of typos - its
3(25x^4 - 10x^2 + 1) - (5x^2 - 1) + 2
now be careful with - (5x^2 - 1) because you have to distribute the negative over the 5^2 - 1 and the -1 becomes + 1:-

= 75x^4 - 30 x^2 + 3 - 5x^2 + 1 + 2
= 75x^4 - 35x^3 + 6

Answer 14

Is that just the first part of the equation or is that the answer after you combine like terms and stuff

Answer 15

- thats another typo!! its 35x^2 of course

Answer 16

- thats the answer

Answer 17

Oh I see what you did I multiplied wrong lol thanks for the help !

Answer 18

I'm really tired so i'd better call it a day on OS today.

Answer 19

yw

Answer 20

when multiplying binomials its like this