SOLUTION: Consider the functions {{{ f(x)= 3/x }}} and {{{ g(x)= 3/x }}}, find f(g(x)) and g(f(x)). Determine whether f and g are inverses of each other.
I know both f and g are inverses
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-> SOLUTION: Consider the functions {{{ f(x)= 3/x }}} and {{{ g(x)= 3/x }}}, find f(g(x)) and g(f(x)). Determine whether f and g are inverses of each other.
I know both f and g are inverses
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Question 1077061: Consider the functions and , find f(g(x)) and g(f(x)). Determine whether f and g are inverses of each other.
I know both f and g are inverses of each other as they're both x.
f(g(x)) = x
g(f(x)) = x
For both f(g(x)) and g(f(x)) what are values that should be excluded from the domains? Since they're both I thought it was either excluding 0 from the domain or no values should be excluded from the domain? I'm not sure.
You correctly determined that both f and g are inverses of each other as their composition is x.
But it DOESN't mean that
f(g(x)) == x identically for all x.
It only means that f(g(x)) == x identically for all x from the DOMAIN of g.
The domain for each of the function f(x) = and g(x) = is the set of all real numbers EXCLUDING x = 0.
