Question

Function f and function g are inverses of one another. What is f(g(t)) equal to?

Answer 1

Hello from MrBillDoesMath!

Answer:   f(g(t)) = t

Discussion:

A function and its inverse "undo" each other. Suppose that

f(t) = t^2  and g(t)  = t^ (1/2)

Then  

         A            B                    C

g(f(t)) = g (t^2)  = (t^2) ^ (1/2)  = t

A:  substitute the definition of f(t), that is t^2, in the equation

B:  g(t) takes the square root if its argument

C: The square root of a squared item is the item itself.

Regards, MrB