Question

If g(x) is the inverse of f (x) what is the value of f(g(2)

Answer 1

Answer:

f( g( 2 ) ) = 2

Step-by-step explanation:

As mentioned in the question,

$g(x) = {f}^{ - 1} (x)$

Let's create a function f such that,

$f(x) = 2x \\ g(x) = {f}^{ - 1} (x) = \frac{x}{2}$

Therefore,

$f(g(x)) = 2( \frac{x}{2} ) = x$

Here, x was the input for our original composite function f( g( x ) ).

A function, called with the output of its inverse function ( g( x ) ), returns the original input given to its inverse function ( x ).