Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
ANSWER
all real numbers
EXPLANATION
The given absolute value function is
This function is obtained by shifting the graph of
to the left by 2 units.
Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.
