Question

4) y = x - 1 - 4 A) Domain: x 21 Range: y s-4 B) Domain: x 2-1 Range: y 2-4 C) Domain: x 2-1 Range: y 24 D) Domain: x 21 Range: y 2-4

Answer 1

we have the function

`y=\sqrt[\square]{x-1}-4`

Remember that the radicand must be positive

so

`\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}`

therefore

the domain is the interval [1, infinite)

Find out the range

For x=1

y=-4

so

the range is

`y\ge-4`

answer is option D