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

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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

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