Find the inverse of y=[tex]x^{2}[/tex] +25
please show work!

Answer:

±sqrt (x-25) = y

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y = x^2 +25

Exchange x and y

x = y^2+25

Now we need to solve for y

Subtract 25 from each side

x-25 = y^+25-25

x-25 = y^2

Take the square root of each side

±sqrt (x-25) = sqrt(y^2)

±sqrt (x-25) = y