Question

determine the defining equations of f^-1 by interchanging the variables

f(x)=x2+2

Answer 1

y=x^2+2
x=y^2+2
y^2=x-2
y=+/- sqrt(x-2)
f^-1=+/- sqrt(x-2)

Answer 2

thank you very much!

Answer 3

yw

Answer 4

if i were to plug this in a graphic calculator would i get an inverse function?

Answer 5

or is it not a function at all unless i make a restriction?

Answer 6

its not a function unless you make a restriction because the original equation:
y=x^2+2 is not a one-to-one function

Answer 7

ok thank you