Question

If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1​

Answer 1

f(g(x)) = -1

Explanation:

`f(x) = (1)/(x) \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = (1)/(x - 2) \\ \\ \implies \: f(g(1)) = (1)/(1 - 2) \\ \\ \implies \: f(g(1)) = (1)/( - 1) \\ \\ \implies \: f(g(1)) = - 1`