Question

find the inverse for f^-1(x)=x/20-3/20
and make it to where i can copy and paste it

Answer 1

To find the inverse of the function \( f^{-1}(x) = \frac{x}{20} - \frac{3}{20} \), we will first interchange \( x \) and \( y \) and then solve for \( y \).

Starting with:
\[ y = \frac{x}{20} - \frac{3}{20} \]

Switch \( x \) and \( y \):
\[ x = \frac{y}{20} - \frac{3}{20} \]

Now, solve for \( y \):
1. Add \( \frac{3}{20} \) to both sides:
\[ x + \frac{3}{20} = \frac{y}{20} \]
2. Multiply both sides by 20 to eliminate the fraction:
\[ 20\left(x + \frac{3}{20}\right) = y \]
3. Distribute:
\[ 20x + 3 = y \]

Thus, the inverse function is:
\[ f(x) = 20x + 3 \]

Now you can copy and paste this inverse function:
```plaintext
f(x) = 20x + 3
```