Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=4−(x+1)2 becomes x=4−(y+1)2.
Now, solve the equation x=4−(y+1)2 for y.
y=[tex]\sqrt{4-x}[/tex] - 1
ANSWER
y=[tex]\sqrt{4-x} -1[/tex]
