Question

HELP MY FRIEND!!!

Answer 1

what do you need help on?

Answer 2

so you are trying to find g(x)?

Answer 3

Trying to find g(f(x))

Answer 4

oh..... did you try to set them equal to each other?

Answer 5

your not trying to find them by themselves, you are trying to find f(x) within g(x)

Answer 6

you should ask @DebbieG for help they might be able to help you

Answer 7

sorry i couldn't help you much :(

Answer 8

So you want g(f(x)), given that

\(\Large f(x)=x^2-3\\
\Large g(x)=x^2+1\)

Remember what function notation means: it means that you "plug in" whatever is in the ( ) for the variable in the definition of the function, right?

E.g. if \(\Large g(x)=x^2+1\\
\text{then } \Large g(6)=6^2+1\\
\text{and } \Large g(a)=a^2+1\\
\text{and } \Large g(r+1)=(r+1)^2+1\\\)
Right?

So to find \(\Large g(f(x))\) you'll just want to plop \(f(x)\) into \(g(x)\) in place of the variable x, and simplify the resulting expression:

\(\Large g(f(x))=g(x^2-3)=(x^2-3)^2+1\)

Expand that product and add like terms.