Question

Which of the following relation is correct

Answer 1

Both the equation and its inverse are functions.

Explanation:

In order to solve this problem lets first find the inverse of this function. This is done below:

`y = x^2 + 8\\`

We first swap x and y.

`x = y^2 + 8`

We now isolate y.

`y^2 = x - 8\\y = √(x - 8)\\f^(-1)(x) = √(x - 8)`

Functions are relations between two groups of numbers, in such a way that one number on the input group must generate a singular answer from the output group. This holds true for both f(x) and its inverse, therefore both are functions.