Question

Find functions f and g such that f = f ° g. (Use non-identity functions for f(x) and g(x)).

Answer 1

To find functions f and g such that f = f ° g, we can choose non-identity functions that satisfy this condition. Let's say f(x) = x^2 and g(x) = √x. Now, if we apply f to g, we have f(g(x)) = f(√x) = (√x)^2 = x. Therefore, f = f ° g for these chosen functions.

Step-by-step explanation:

To find functions f and g such that f = f ° g, we can choose non-identity functions that satisfy this condition. Let's say f(x) = x^2 and g(x) = √x. Now, if we apply f to g, we have f(g(x)) = f(√x) = (√x)^2 = x. Therefore, f = f ° g for these chosen functions