Question

Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2

Answer 1

C. -5y -4 = -(x+3)^2 -1/2

Hope I am right.

Answer 2

Answer:

Option D is correct.

Step-by-step explanation:

Given equation is $5y+4=(x+3)^2+\frac{1}{2}$

We need to find inverse of the function.

Let x be the independent variable or the function is in x variable.

So,

we Simplify the given equation for variable of x.

$5y+4=(x+3)^2+\frac{1}{2}$

$5y+4-\frac{1}{2}=(x+3)^2$

$5y+\frac{7}{2}=(x+3)^2$

$\pm\sqrt{5y+\frac{7}{2}}=x+3$

$x+3=\pm\sqrt{5y+\frac{7}{2}}$

$x=-3\pm\sqrt{5y+\frac{7}{2}}$

Inverse of the given equation = $-3\pm\sqrt{5y+\frac{7}{2}}$

Therefore, Option D is correct.