Question

f(x)= (x^2 + 1)^2

g(x)= (1)/(sqrt(x + 5)

what is f o g
what is g o f

thanks in advance
pls show all work

Answer 1

\[f(x)= (x^2 + 1)^2\]
\[g(x)= \frac{1}{\sqrt{x + 5}}\]
\[f \cdot g=f(g(x))\]

Answer 2

\[g \cdot f=g(f(x))=((\frac{1}{\sqrt{x + 5}})^2+1)^2\]

Answer 3

You can do the second one.

Answer 4

http://answers.yahoo.com/question/index?qid=20090114184046AAXDAcp

Answer 5

is the second one

1/(sqrt(x^3)^2 + 5)

Answer 6

Not quite.

Answer 7

Close, though.

Answer 8

what did i do wrong then

Answer 9

Sorry- my example was actually f(g(x))!

Answer 10

Basically, to find the REAL g(f(x)) (not my mistaken one), write down g(x), and replace the x in g(x) with f(x).