Question

Can someone please check my answers?

Answer 1

f(x) = x^2+4,g(x) = 5x-3. (f o f) (x)
I got (f o f) (x) = x^4 + 8x^2 + 16

Answer 2

@SolomonZelman

Answer 3

@xapproachesinfinity Do you mind helping me?

Answer 4

fof(x)=f(f(x))
so in place of x you put f(x)
\[f(f(x))=[f(x)]^2+4\]
but f(x) again is f(x)=x^2+4 so we can replace f(x) by x^2+4
so we get \[fof(x)=[x^2+4]^2+4\]

Answer 5

oh okay

Answer 6

you almost got it right i see

Answer 7

but you missed that 4

Answer 8

So I got the correct answer but missed the 4?

Answer 9

yes it should at the end +20 not +16

Answer 10

16+4 you forgot to add that 4

Answer 11

Oh okay so the answer is ( f o f) (x) = x^4 + 8x^2 + 20?