If g=g what is g?
Understand the Problem
The question asks to solve the equation g = g
for g
. This equation is an identity, meaning it is true for any value of g
. Therefore, g
can be any number.
Answer
$g$ can be any real number.
Answer for screen readers
$g$ can be any real number.
Steps to Solve
-
Acknowledge the Identity The equation $g = g$ is an identity. This means it's true for all possible values of $g$.
-
Express the Solution Since $g$ can be any value, the solution set for $g$ includes all real numbers.
$g$ can be any real number.
More Information
An identity is an equation that is always true, no matter what value is substituted for the variable. In this case, $g = g$ will always be true, whether $g$ is 0, 1, -1, or any other number.
Tips
A common mistake is to assume there's no solution or that the solution is zero. The equation $g=g$ is true for all values of $g$, not just for $g=0$. So, don't think that because the variable appears on both sides, there's no solution. Instead, recognize that it's an identity with infinitely many solutions.
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