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Which of the following relation is correct

Which of the following relation is correct-example-1
User Thewads
by
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1 Answer

1 vote

Answer:

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.

User Cocreature
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