Asked by anon
verify functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x.
f(x)= 5/(2 -x)
g (x) = 2 - 5/x
f(x)= 5/(2 -x)
g (x) = 2 - 5/x
Answers
Answered by
Steve
what's the problem?
f(x) = 5/(2-x) so
f(g) = 5/(2-g)
= 5/(2-[2 - 5/x])
= 5/(2 - 2 + 5/x)
= 5/(5/x)
= 5*x/5
= x
Do likewise for g(f)
f(x) = 5/(2-x) so
f(g) = 5/(2-g)
= 5/(2-[2 - 5/x])
= 5/(2 - 2 + 5/x)
= 5/(5/x)
= 5*x/5
= x
Do likewise for g(f)
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