Question

Find the inverse of the function.

y = 2x²-4
y = ± √√x+2
y=±₁
x+4
2
y=± √x-2
y=±
DONE
√x+4
2
Intro

Answer 1

To find the inverse of a function, swap x and y and solve for the new y.

Step-by-step explanation:

To find the inverse of a function, we need to swap the roles of x and y and solve for the new y. Given the function y = 2x² - 4, we start by replacing y with x and solving for x.

x = 2y² - 4

Next, we rearrange the equation to isolate y.

2y² = x + 4

y² = (x + 4)/2

y = ±√((x + 4)/2)

Therefore, the inverse of the function y = 2x² - 4 is y = ±√((x + 4)/2).

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