Evaluate the following function when x = 77. Round your answer to the nearest hundredth.

f (x) = x-1
2x + 1

To evaluate the given function \( f(x) = \frac{x - 1}{2x + 1} \) when \( x = 77 \), follow these steps:

### Step 1: Substitute \( x = 77 \) into the function
\[
f(77) = \frac{77 - 1}{2(77) + 1}
\]

### Step 2: Simplify the numerator and denominator
- Numerator: \( 77 - 1 = 76 \)
- Denominator: \( 2(77) + 1 = 154 + 1 = 155 \)

So, the function becomes:
\[
f(77) = \frac{76}{155}
\]

### Step 3: Perform the division
\[
\frac{76}{155} \approx 0.4903225806451613
\]

### Step 4: Round to the nearest hundredth
\[
f(77) \approx 0.49
\]

### Final Answer:
\[
f(77) = 0.49
\]

Let me know if you’d like a more detailed breakdown or have questions! 😊

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Here are 5 related questions for practice:
1. Evaluate \( f(x) = \frac{x - 2}{3x + 4} \) when \( x = 10 \).
2. Solve \( f(x) = \frac{x}{2x - 5} \) for \( x = -1 \).
3. Find the value of \( f(x) = \frac{3x + 7}{4x - 9} \) when \( x = 15 \).
4. What is the value of \( g(x) = \frac{5x - 8}{6x + 3} \) for \( x = 0 \)?
5. Evaluate \( h(x) = \frac{x^2 - 1}{x + 3} \) when \( x = -4 \).

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**Tip:** Always simplify the denominator and numerator first to avoid errors when working with fractions!

Evaluate the following function when x = 77. Round your answer to the nearest hundredth. f(x) = (x - 1) / (2x + 1)

Learn how to evaluate the rational function f(x) = (x - 1) / (2x + 1) when x = 77 and round the answer to the nearest hundredth. This step-by-step guide explains simplification and division of rational functions. Suitable for students in Grades 7-9.

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