Question

Suppose that f(x)=sqrt(x+4), g(x)=x^2+1, and h(x)= x+2

Find (f∘g∘h)(x) =

Answer 1

f(g(h(x))) = f(h(x)^2+2) = sqrt((h(x)^2+2)+4)=sqrt((x+2)^2+2+4)

Answer 2

almost got that, typoed the 2

Answer 3

f(g(h(x))) = f(h(x)^2+1) = sqrt((h(x)^2+1)+4)=sqrt((x+2)^2+1+4)

is more like it

Answer 4

thanks!

Answer 5

yep, those compund stuff can be a headache if you dont keep your wits about ya