Which equation is the inverse of y = 2x2 – 8?

Question

asked Jan 27, 2018 180k views

2 Answers

Cloudanger · Answer 1 · 2018-01-31T22:25:19+0000

Answer:

$y = \sqrt{(x+8)/(2)}$

Explanation:

Here, the given equation,

y=2x^2-8

For finding the inverse, interchange x and y,

x=2y^2-8

Add 8 on both sides,

x+8=2y^2

Divide both sides by 2,

(x+8)/(2)=y^2

Taking square root on both sides,

$\sqrt{(x+8)/(2)}=y$

$\implies y = \sqrt{(x+8)/(2)}$

Which is the required inverse of the given equation.