The function is given as:

\[
f(x) = \frac{x + 1}{x} - 5
\]

To solve \( f(x) = 0 \):

\[
\frac{x + 1}{x} - 5 = 0
\]

First, add 5 to both sides:

\[
\frac{x + 1}{x} = 5
\]

Multiply both sides by \( x \) to clear the fraction:

\[
x + 1 = 5x
\]

Subtract \( x \) from both sides:

\[
1 = 4x
\]

Divide both sides by 4:

\[
x = \frac{1}{4}
\]

So, the solution is \( x = \frac{1}{4} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you check if \( x = \frac{1}{4} \) is the correct solution?
2. Can you graph the function \( f(x) \) to see where it crosses the x-axis?
3. What happens if \( x = 0 \) is included in the domain?
4. How do you solve the equation if the function includes higher powers of \( x \)?
5. How do you approach solving nonlinear functions algebraically?

**Tip:** Always check the domain of the function before solving, especially when there are variables in the denominator.

Learn how to solve the equation f(x) = (x + 1) / x - 5 step-by-step with a detailed explanation. This problem covers key algebraic concepts, including equations and rational functions. Suitable for students in Grades 10-12.

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