Respuesta :

Kalahira
In order to find the inverse equation, we need to first switch the x and y portions of the formula. Since we are presented with what y is equal to, we will then just solve for y again after the inverse is applied. So, switching the letters results in x = 100 - y2. Now solve for y. First, apply (-x) and (-y2) to each side. This results in y2 = 100 - x. To get rid of the square, apply the square root to each side. This results in the answer: y = 10 - sqrt(x), where sqrt is square root (something not available on the keyboard).

Answer:

[tex]y =\sqrt{ 100-x}[/tex]

Step-by-step explanation:

Given : [tex]y = 100-x^2[/tex]

To Find: inverse

Solution:

[tex]y = 100-x^2[/tex]

Replace x with y and y with x

[tex]x = 100-y^2[/tex]

Now find the value of y

[tex]y^2 = 100-x[/tex]

[tex]y =\sqrt{ 100-x}[/tex]

Thus the inverse  is [tex]y =\sqrt{ 100-x}[/tex]

Hence the inverse of [tex]y = 100-x^2[/tex]  is [tex]y =\sqrt{ 100-x}[/tex]

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