Question

Determine f(x-1) for the following function
F(x)= square root of x-3 +3

Answer 1

To determine f(x-1), we need to substitute x-1 for x in the expression for f(x).

f(x-1) = sqrt((x-1)-3) + 3

Simplifying the expression inside the square root

(x-1)-3 = x-4

So,

f(x-1) = sqrt(x-4) + 3

Therefore, f(x-1) is equal to the square root of x-4 plus 3.

Answer 2

`f(x-1)=√(x-4)+3`

Explanation:

`f(x)=√(x-3)+3\\f(x-1)=√((x-1)-3)+3\\f(x-1)=√(x-4)+3`