The expression g(f(x)) is a composition of two functions, g and f. If f(x) = g^-1(x), then f is the inverse function of g.

By definition, applying a function to its inverse will give you the original input. This is because the inverse function "undoes" the operation of the original function.

So, if f is the inverse of g, then applying g to f(x) (which is g^-1(x)) will just give you x.

Therefore, g(f(x)) = x.

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The expression g(f(x)) is a composition of two functions, g and f. If f(x) = g^-1(x), then f is the inverse function of g.

By definition, applying a function to its inverse will give you the original input. This is because the inverse function "undoes" the operation of the original function.

So, if f is the inverse of g, then applying g to f(x) (which is g^-1(x)) will just give you x.

Therefore, g(f(x)) = x.

Knowee AI · Accepted Answer

The expression g(f(x)) is a composition of two functions, g and f. If f(x) = g^-1(x), then f is the inverse function of g.

By definition, applying a function to its inverse will give you the original input. This is because the inverse function "undoes" the operation of the original function.

So, if f is the inverse of g, then applying g to f(x) (which is g^-1(x)) will just give you x.

Therefore, g(f(x)) = x.

What is g(f(x)) if f(x) = g-1 (x)?

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