The function f(x)=(x+4)^2+3 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< = -4; f^-1(x)=-4+ sqrt x-3
b. restricted domain: x> =-4; f^-1 (x)=-4 - sqrt x+3
c. restricted domain: x> = -4; f^-1(x) =-4+ sqrt x-3
d. restricted domain: x< = -4; f^-1(x)= -4+ sqrt x+3

C.Restricted domain :,

Step-by-step explanation:

We are given that a function is not one - to-one.

Suppose

Hence,

We know that domain of f(x) is converted into range of and range of f(x) is converted into domain of .

Substitute x=3 then we get

Domain of

Range of

Domain of f(x)=

Restricted domain :

Hence, restricted domain of f(x) that makes the function one-to-one .