Question

Which of the following is true for the relation f(x) = x2 + 8?

Answer 1

Answer:

Only the equation is a function

Step-by-step explanation:

we have

$f(x)=x^{2} +8$

Find out the inverse of f(x)

Let

y=f(x)

$y=x^{2} +8$

Exchange the variables (x for y and y for x)

$x=y^{2} +8$

Isolate the variable y

$y^{2}=x-8$

square root both sides

$y=(+/-)\sqrt{x-8}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=(+/-)\sqrt{x-8}$

The inverse function is not a function (because for one input value the function has two different output values)

therefore

Only the equation is a function