Question

Which of the following is true for the relation f(x) = x2 + 8? Only the inverse is a function. Both the equation and its inverse are functions. Only the equation is a function. Neither the equation nor its inverse is a function.

Answer 1

Only the equation is a function

Step-by-step explanation

`f(x)=x^2+8` is graphed above with its inverse
`f^(-1)(x)=\pm √(x-8)`.

We perform the vertical line test for both the equation and its inverse.

The equation
`f(x)=x^2+8` passed the vertical line hence it is a function.

However,
`f^(-1)(x)=\pm √(x-8)` failed the vertical line test, hence it is not a function.