Question

Choose the inverse of y=x²-10x.

Oy=±√√x-25-5
O y = ± √√x-25 +5
Oy=√x+25-5
Oy=+√√x+25 +5

Answer 1

`y = √(x+25) + 5`

Explanation:

Swap x and y

x = y² – 10y

Add 25 to each side to complete the square

x + 25 = y² – 10y + 25

Factor

x + 25 = (y – 5)²

Take the square root of each side

`√(x+25)` = y – 5

Add 5 to both sides

`√(x+25)` + 5 = y