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The problem in the image asks about the horizontal asymptote of the function \( f(x) = 5^x - 4 \).

### Finding the Horizontal Asymptote
For exponential functions of the form \( f(x) = a^x + c \), the horizontal asymptote is given by the constant term \( c \) because as \( x \to -\infty \), the term \( a^x \) approaches zero. 

In this case, the function is \( f(x) = 5^x - 4 \), where \( a = 5 \) and \( c = -4 \). As \( x \to -\infty \), \( 5^x \) approaches 0, and the function tends toward \( f(x) \to -4 \).

Therefore, the horizontal asymptote is \( y = -4 \).

### Answer:
The correct choice is:
**b. \( y = -4 \)**

Let me know if you want more details or explanations! Here are some follow-up questions to deepen your understanding:

1. What is the horizontal asymptote of the function \( f(x) = 2^x + 3 \)?
2. How do you find vertical asymptotes for rational functions?
3. What happens to \( 5^x \) as \( x \to \infty \)?
4. Can an exponential function have more than one horizontal asymptote?
5. How does shifting an exponential graph vertically affect its asymptote?

**Tip:** For exponential functions, the horizontal asymptote always depends on the vertical shift applied to the base function \( a^x \).

Asimtot datar pada grafik fungsi f(x) = 5^x - 4 adalah ....

Determine the horizontal asymptote of the exponential function f(x) = 5^x - 4. Understand the concept of asymptotes in exponential functions and how the constant term affects the horizontal asymptote.

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