Determine if the equation x-y^4=1 defines y as a function of x

Question

asked Apr 4, 2023 2.3k views

1 Answer

Elbe · Answer 1 · 2023-04-08T15:40:09+0000

Answer:

Yes it does

Explanation:

We can rewrite the original equation x-y⁴ =1 in terms of y as a function of x

We can rewrite

x-y⁴ =1

as

-y⁴ = 1-x (subtract x from both sides)

Multiplying by -1 both sides

y⁴ = x - 1

Taking the 4th root

$y = \sqrt[4]{x-1}$

which is y as a function f(x)