For what value of x the relation S: { (x2+3,4), (5,2) } is not a function?

x = sqrt (2), - sqrt (2)

Step-by-step explanation:

For a function, there cannot be multiple outputs for the same input, therefore x²+3 should not be 5

x² + 3 = 5

x² = 2

x = + / - sqrt (2)

x = ±sqrt (2)

Step-by-step explanation:

It is not a function if the same input goes to 2 different outputs

x^2 + 3 = 5 would cause the same input to go to 2 different outputs

Subtract 3 from each side

x^2 + 3-3 = 5-3

x^2 = 2

Take the square root of each side

sqrt (x^2) = ±sqrt (2)

x = ±sqrt (2)