Question

Identify function f(x) and g(x) such that the given function equals f[g(x)]?

a) (1/x^2)+1

help me please..

Answer 1

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

Answer 2

how u solve it?teach me please

Answer 3

ah actually you can do it in more than one way, I mean we don't have single solution here
for example f(x) = x
g(x) = (1/x^2) +1

Answer 4

meaning that it may have more than one solution?

Answer 5

yea

Answer 6

if f(x) = x and g(x) = x^2 +1
f[g(x)] = x^2 +1
now all you have to do is inverse of this process

Answer 7

to get the f(x) and g(x)

Answer 8

ouhh..so its depend on how we solve it?

Answer 9

yes exactly

Answer 10

Here g is inside f. g is a function of x (namely 1/x^2). f is another function of something (namely something + 1).