A. Direction: Find the inverse of the following functions. Construct a table of values for each function with a limit of -2 to 2, and find its domain and range.

1. f(x) = 3x-2

2. f(x) = 4x+3 2x+5

### 1. Inverse of the Function \( f(x) = 3x - 2 \)

#### Step 1: Find the inverse of the function.

To find the inverse, swap \( x \) and \( y \) and solve for \( y \).

\[
y = 3x - 2 
\]

Swap \( x \) and \( y \):

\[
x = 3y - 2
\]

Now, solve for \( y \):

\[
x + 2 = 3y
\]

\[
y = \frac{x + 2}{3}
\]

So, the inverse function is:

\[
f^{-1}(x) = \frac{x

Discover how to find the inverse functions for f(x) = 3x - 2 and f(x) = 4x + 3 2x + 5 with detailed step-by-step solutions and tables of values. Explore the domains and ranges of each function within the limit of -2 to 2. Suitable for high school students.

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