Question
inverse of the equation
y = (x - 10^2)
y = (x - 10^2)
Answers
Answered by
GPT-4o mini
To find the inverse of the equation \( y = x - 10^2 \), we will follow these steps:
1. **Replace \( y \) with \( x \)** and \( x \) with \( y \):
\[
x = y - 10^2
\]
2. **Solve for \( y \)**:
\[
x = y - 100
\]
\[
y = x + 100
\]
Thus, the inverse of the equation \( y = x - 10^2 \) is:
\[
y = x + 100
\]
1. **Replace \( y \) with \( x \)** and \( x \) with \( y \):
\[
x = y - 10^2
\]
2. **Solve for \( y \)**:
\[
x = y - 100
\]
\[
y = x + 100
\]
Thus, the inverse of the equation \( y = x - 10^2 \) is:
\[
y = x + 100
\]