To find the inverse of the function \( f(x) = x + 5 \), we can follow these steps:
1. **Write the original function**:
\[ y = x + 5 \]
2. **Swap \( x \) and \( y \) (to find the inverse)**:
\[ x = y + 5 \]
3. **Solve the equation for \( y \)**:
\[ y = x - 5 \]
4. **Write the inverse function**:
\[ f^{-1}(x) = x - 5 \]
Thus, the steps provided can be filled in as follows:
1. \( y = x + 5 \)
2. \( x = y + 5 \)
3. \( y = x - 5 \)
4. \( f^{-1}(x) = x - 5 \)
Complete the steps in order to write the inverse of f(x) = x + 5
1.
= x + 5
2.
= y + 5
3.
= y
4.
= x – 5
1 answer
1 answer