Question

For f(x)= 1/(x-5) and g(x)= x^2+2, find:

a. (f o g)(x)


b. (g o f)(6)

Answer 1

would it be like this for a, and if so how would i continue that?

(f o g)(x)= 1/[(f o g)(x)-5]?

Answer 2

replace x by x^2+2
1/[ (x^2+2) -5 ]

= 1/(x^2 - 3)

b.
f(6) = 1/1 = 1
g(1) = 1+2 = 3

Answer 3

would it be like this for a, and if so how would i continue that?

(f o g)(x)= 1/[(f o g)(x)-5]?
=======================
no, just do what it says

f (g(x))
use g(x) = (x^2+2) for argument of f
in other words
f (x^2+2)
= 1/[ (x^2+2) - 5 ]

Answer 4

Oh okay! That was very helpful. Thank you.

Answer 5

You are welcome :)