please explain 2 pts Find the inverse for each of the follow

please explain

(2 pts) Find the inverse for each of the following functions. a) (x) 11x 6 b) g(x) 5x2 11, with domain x 20 g-10) x 11

Solution

a)   
f(x) =11x+6
y =11x+6
x= (y-6)/11 = f-1(y)

b)
y = 5x2-11
x2= (y+11)/5
x= squareroot of [(y+11)/5] = g-1(y)

c)
y =11/(x+11)
x= (11/y)-11 = h-1(y)