Question

The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤< 5-5.

Answer 1

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: $f(x)=-\sqrt{x}$

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : $-\sqrt{x}$ →   $-\sqrt{x-5}$

So, $g(x)=-\sqrt{x-5}$

Now to find domain:

$x-5>0$

$x>5$

So, Domain = [5,∞).