the function f(x)=(x-5)^2+2 is not one-to-one. identify a restricted domain that makes the function one-to-one, and find the inverse function.
a) restricted domain ; x >= 5; f^-1(x) = 5 - sqrt x- 2
b) restricted domain ; x >= 5; f^-1(x) = 5 + sqrt x- 2
c) restricted domain ; x <= 5; f^-1(x) = 5 + sqrt x - 2
d) restricted domain ; x <= 5; f^-1(x) = 5 + sqrt x - 2
please help, tysm
You want (positive number)^2 so a or b then look at inverse
y = (5-x)^2 + 2
inverts to
x = (5-y)^2 +2
25 - 10 y + y^2 + 2 = x
y^2 -10 y = x - 27
y^2 - 10 y + 25 = x - 2
(y-5)^2 = x-2
y-5 = sqrt(x-2)
y = 5 + sqrt ( x-2) so b