Find the inverse functions of the following one-to-one functions:
Example:

Step l = y = x + 3

Step 2. x = y + 3

Step 3 = x - 3 = y or y = x - 3

Step 4 = f - 1(x) = x - 3

Step 1. Replace f(x) by y)

Step 2. (Interchange x's and y's)

Step 3. (Solve for y in step 2)

Step 4. (Replace y with f-1)

Solve this 3: 
1. f(x) = (x + 3)^3
2. f(x) = 1/2 x + 4
3. f(x) = 4

Let's follow the steps for finding the inverse of each function you provided.

### 1. \( f(x) = (x + 3)^3 \)

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

**Step 2**: Interchange \( x \) and \( y \):
\[
x = (y + 3)^3
\]

**Step 3**: Solve for \( y \):
\[
\sqrt[3]{x} = y + 3
\]
\[
y = \sqrt[3]{x} - 3
\]

**Step 4**: Replace \( y \) with \( f^{-1}(x) \):
\[
f^{-1}(x) = \sqrt[3]{x} - 3
\]

---

### 2. \( f(x) = \frac{1}{2}x + 4 \)

**Step 1**: Replace \( f(x) \) with \( y \):
\[
y = \frac{

Find the inverse functions of the following one-to-one functions: 1. f(x) = (x + 3)^3 2. f(x) = 1/2 x + 4 3. f(x) = 4

Discover how to find the inverse of various one-to-one functions, including a cubic function f(x) = (x + 3)^3 and a linear function f(x) = 1/2x + 4. This step-by-step solution walks through the process of solving for the inverse using algebraic techniques. Ideal for students in Grades 9-12.

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