Answer:
The inverse operations are:
[tex]12 - x^2 = 3[/tex]
[tex]12 - 3 = x^2[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 3 = 12[/tex]
Required
Determine the inverse operations
The operation in the given equation is addition operation;
The inverse of operation is the subtraction operation
This implies that, the operation be converted from addition to subtraction:
Considering [tex]x^2 + 3 = 12[/tex]
Subtract both sides by 3
[tex]x^2 + 3 - 3 = 12 - 3[/tex]
[tex]x^2 = 12 - 3[/tex] ---- This is an inverse operation
This can be rewritten as [tex]12 - x^2 = 3[/tex]
Another inverse operation is;
Considering [tex]x^2 + 3 = 12[/tex]
Subtract both sides by [tex]x^2[/tex]
[tex]x^2 - x^2 + 3 = 12 - x^2[/tex]
[tex]3 = 12 - x^2[/tex] ---- This is another inverse operation
This can be rewritten as [tex]12 - 3 = x^2[/tex]
