# calculus

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Given two functions as:
f(x) = x2-x-1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog

• calculus -

domain of f : any real number
domain of g : any real number except x ≠ 0

fog
= f(g(x))
= f(3/x)
- (3/x)^2 - 3/x - 1

clearly the domain of fog is any real number, except x≠0

• calculus -

last line in calculation should say

= (3/x)^2 - 3/x - 1

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