In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
f(x) = x² - 2
Step 02:
functions:
function:
f(x) = x² - 2
domain:
(-oo, oo)
all real numbers
range:
[-2 , oo)
y ≥ - 2
inverse function:
[tex]\begin{gathered} y=x^2-2 \\ \\ x\text{ ===> y} \\ \\ x=y^2-2 \\ \\ solve\text{ for y:} \\ \\ y=\pm\sqrt{x+2} \\ \end{gathered}[/tex]
domain:
[-2, oo)
x ≥ -2
range:
(oo, 0] U [0 , oo)
all real numbers
That is the full solution.
