Which function must have a restricted domain in order to have an inverse function?
a. f(x)= 6x -10
b. f(x) =8x^2-6x+10
c. f(x) =3(x-2)^3+1
d. f(x)= √x+3

B

Step-by-step explanation:

Consider the function

Rewrite it as

The domain of this function is and the range is

Find the inverse function:

So, the domain of the inverse function is and the range will be

So, the domain must be restricted

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c