Question

Which of the following relation is correct

Answer 1

Answer:

Both the equation and its inverse are functions.

Step-by-step 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.

$y^2 = x - 8\\y = \sqrt{x - 8}\\f^{-1}(x) = \sqrt{x - 8}$

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.