Answer:
y = [tex]\sqrt{x + 36}[/tex]
Explanation:
y = [tex]x^{2}[/tex] - 36
to find the inverse of the above equation, we solve as follows.
first, we swap places for the x and the y
x = [tex]y^{2}[/tex] - 36
next, we solve for y, first by adding 36 to both sides of the equation
x + 36 = [tex]y^{2}[/tex] - 36 + 36
x + 36 = [tex]y^{2}[/tex]
find the square root of both sides of the equation
[tex]\sqrt{x + 36}[/tex] = [tex]\sqrt{y^{2} }[/tex]
y = [tex]\sqrt{x + 36}[/tex]
