Answer:
f^(-1) (x) = (x-1)²+6 x≥6
Step-by-step explanation:
y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x
y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.
x-1=√(y-6) subtract 1
(x-1)²=y-6 square both sides of the equation
(x-1)²+6=y add 6 to both sides
x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.
