g(x)=sgrt(x-1)

Question

I need the answer tog(x)=sqrt(x-1)

Answer 1

Roxann,

 

You need an answer, but what's your question?  Graph it, compute it for some value x, find x when g(x) = something like 0 or 1 or square root of 2)?

 

If g(x) is to be graphed, then select several values of x, evaluate g(x) and plot the points on the y-axis.  But note that for all x < 1, (x-1) is negative and its square root is imaginary so you can't graph it if both x & y axes are real.  Also note that the square root of a positive (x-1) has both a + and  a - answer so two points will be graphed, one above the x-axis and one below.

 

The graph of g(x) then looks like a "U" laying sideways, opening to the right, symmetrical about the x-axis, and going thru the points (x,y=g(x)) = (1,0), (2,+1), (2, -1), (3, sq root 2), (3, - sq root 2), etc.