https://file.aiquickdraw.com/mathbot/file/172555186090903gpz635.jpg

The image contains a mathematical problem which states:

**Given:**  
\( f(x) = 6x - 3 \)  
\( g(x) = 5x + 4 \)

Find the value of \( \frac{g(1)}{f(1)} = 8 \).

To solve this:

### Step 1: Evaluate \( f(1) \)
Substitute \( x = 1 \) into the function \( f(x) = 6x - 3 \):
\[
f(1) = 6(1) - 3 = 6 - 3 = 3
\]

### Step 2: Evaluate \( g(1) \)
Substitute \( x = 1 \) into the function \( g(x) = 5x + 4 \):
\[
g(1) = 5(1) + 4 = 5 + 4 = 9
\]

### Step 3: Set up the equation
We are given that \( \frac{g(1)}{f(1)} = 8 \), which implies:
\[
\frac{g(1)}{f(1)} = \frac{9}{3} = 3
\]
But according to the problem, this ratio should equal 8. Thus, there seems to be a discrepancy in the problem statement or the interpretation.

If you would like more details or further clarifications, feel free to ask!

### Related Questions:
1. How do you solve equations involving ratios of functions?
2. How do you find the inverse of a linear function?
3. How would the problem change if \( f(x) \) or \( g(x) \) were quadratic functions?
4. What are other common techniques for solving functional equations?
5. How do you verify the solution of a functional equation?

### Tip:
Always substitute values into functions step by step to ensure accuracy when solving complex equations.

Diketahui fungsi f(x) = 6x - 3 dan g(x) = 5x + 4. Jika g(1) / f(1) = 8, nilai dari ...

Learn how to solve the functional equation where f(x) = 6x - 3 and g(x) = 5x + 4, and the ratio g(1) / f(1) equals 8. A step-by-step solution is provided, covering core algebra concepts and function evaluation. Suitable for Grades 9-10.

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