Question

what does the little degree sign mean, in functions? I see it in my algebra and I know it's a composite function but I can never remember what it is I'm supposed to do...

Answer 1

are you talking about ( f o g)(x)
that just means function in a function...

Answer 2

for example if it is f o g(2)
so just asking to find f(g(2)) ..

Answer 3

ohhh so it's multiplying the two functions? or is it plugging in 2 (in that case) for x?

Answer 4

\[\large\rm g(x) =x+2 ~~~~~~~~~~~~f(x)=4x+2\]
find( f o g)(2)
first substitute 2 into g(X) function and then substitute the result into f(x)
\[g(2)=2+2=\color{Red}{4}\]
\[\large\rm (f o g)(2) \rightarrow f(\color{Red}{g(2)}) = 4(\color{Red}{4})+2\]

Answer 5

\(\bf f(x)=2x^2+5-3x\qquad {\color{brown}{ g(x)}} =meow
\\ \quad \\
(f\circ g)(x)\implies f(\quad {\color{brown}{ g(x)}}\quad )=2{\color{brown}{ (meow)}}^2+5-3{\color{brown}{ (meow)}}\)

Answer 6

ohhhhhhhhhhhhh that's makes sense now omg lol

Answer 7

thanks guys!

Answer 8

substitution not multiplication

Answer 9

right, plugging numbers in

Answer 10

yep.

Answer 11

yw!