Which equation can be simplified to find the inverse of y = 5x2 + 10?

its A i took the test on Eg2020

f^-1 (x) = sq. rt 5 (x - 10) / 5, sq. rt 5 (x - 10) / 5 is the inverse of y = 5x^2 + 10

Step-by-step explanation:

interchanging the variables

x = 5y^2 + 10

5y^2 + 10 = x

5y^2 = x - 10

dividing by 5

5y^2/5 = x/5 + - 10/5

y^2 = x/5 + - 10/5

y^2 = x/5 - 2

y = 5 (x-10) 0/5 (sq. rt)

g (5x^2 + 10) = 5x/5

g (5x^2 + 10) = x

f^-1 (x) = sq. rt 5 (x - 10) / 5, sq. rt 5 (x - 10) / 5 is the inverse of y = 5x^2 + 10