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

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