The inverse of f(x) is a function. true or false

The statement: The inverse of f(x) is a function is:

                         True Statement.

The necessary condition that guarantees that a inverse of a function is again a function is:

" The function must be a one-to one function "

Otherwise the inverse may not be a function.

From the given graph of the function we see that the function is a one-to-one function as it passes the horizontal line test i.e. any line passing through the co-domain and parallel to x-axis should intersect the graph atmost once.

      Yes, the inverse of the given function F(x) is again a function.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743