Question

pictures is down below , i have to include C & D

Answer 1

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:

$\begin{gathered} y=x^2-2 \\ \\ x\text{ ===> y} \\ \\ x=y^2-2 \\ \\ solve\text{ for y:} \\ \\ y=\pm\sqrt{x+2} \\ \end{gathered}$

domain:

[-2, oo)

x ≥ -2

range:

(oo, 0] U [0 , oo)

all real numbers

That is the full solution.