Answer:
Step-by-step explanation:
The given equation is
For this function to have an inverse, we must restrict the domain, say
We interchange x and y to get,
We now make y the subject to get;
We divide through by 16 to get;
We now take the square root of both sides to get;
Since , the inverse function is
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
