Question

@phi
I have a few more just as confusing as the previous one.
@Johnbc

Answer 1

do you know what that circle notation means?

Answer 2

no, I know it's not multiplication; that's why I'm confused.

Answer 3

\[(f\circ g)(x)=f[g(x)]\]in other notation

Answer 4

It means, a function composed of another function.

Answer 5

in other words, you put the second function inside the first

Answer 6

In this specific case.

Answer 7

for example, if\[f(x)=x^2\]and\[g(x)=x+1\]then\[(f\circ g)(x)=f[g(x)]=f(x+1)=(x+1)^2\]

Answer 8

notice how the whole expression for g(x) went where the 'x' goes in f(x)

Answer 9

yes.

Answer 10

but I keep getting -2x^2-3

Answer 11

could you show your work, please?

Answer 12

-may you work this out with me?
I multiplied 2x^2-4x times x-3

Answer 13

well, as per my explanation above, the circle does *not* mean multiply, but to put one function inside the other
so you want to put the expression for g(x) where the x is in the expression for f(x)
2[g(x)]^2-4[g(x)]
now write out the expression for g(x) and simplify

Answer 14

I got c for the answer, correct?

Answer 15

yes :)