Question

If f and g are inverse functions, then what is the composition of f and g equal to?

Answer 1

Think of it like this: We are trying to find what fog gives us.

g(x) gives you a result.

f(g(x) Means f operates on g(x). f(x) being inverse of g undoes what g did. So you get back the input ie x.

Answer 2

That makes me even more confused..

Answer 3

@AravindG

Answer 4

Oh then take an example.

f(x)=x^2
f^-1=g(x)=root(x)
f(g(z)=f(root(x))=(root x)^2=x

Does that make sense?

Answer 5

no, the ansswers either 1, 0, 2x, or x

Answer 6

but i just dont know which one