A few days ago
Anonymous

need help on functions!!?

We are to find the composite functions f(g(x)) and g(f(x)). What is the domain of the function? Are the two composite functions equal?

f(x) = (x^2) – 1

g(x)= 1/x

the problem is that I keep finding that the 2 composite functions are equal (to (x^2) – 1) when my textbook clearly says that 2 composite functions cannot be equal. I really need help.

Thank you soooo much!!

Top 1 Answers
A few days ago
John V

Favorite Answer

f(g) = (1/x^2) – 1

g(f) = 1/(x^2 – 1)

I’ll leave it to you to find the points where these are undefined, and this will give you the domain parameters.

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