Question

Find the inverse of the equation y=x2+3

Answer 1

Answer:

 -1

f     (x)  = sqrt(x - 3)

Step-by-step explanation:

Hope you won't mind the correction, but that's y = x^2 + 3.  Use " ^ " to indicate exponentiation.

Starting with y = x^2 + 3, interchange x and y:

x = y^2 + 3

Next, solve for y:  y^2 = x - 3, or y = +sqrt(x - 3).

Note that we'd normally write "plus or minus sqrt(x - 3)," but that would provide two y values for each x value (which violates the definition of "function').

Finally, replace "y" with the inverse function label:

 -1

f     (x)  = sqrt(x - 3)

Answer 2

y = the square root of (x-3)