Question

Find the inverse of the function

f(x)=20x+3

Answer 1

To find the inverse of the function \( f(x) = 20x + 3 \), follow these steps:

1. **Replace \( f(x) \) with \( y \)**:
\[
y = 20x + 3
\]

2. **Swap \( x \) and \( y \)**:
\[
x = 20y + 3
\]

3. **Solve for \( y \)**:
- Subtract 3 from both sides:
\[
x - 3 = 20y
\]
- Divide by 20:
\[
y = \frac{x - 3}{20}
\]

4. **Write the inverse function**:
\[
f^{-1}(x) = \frac{x - 3}{20}
\]

Thus, the inverse of the function \( f(x) = 20x + 3 \) is:
\[
f^{-1}(x) = \frac{x - 3}{20}
\]