The vertical asymptote of the function y = ln(x-4) is x = 4.

Here's why:

1. The natural logarithm function, ln(x), is undefined for x ≤ 0. This means that the function y = ln(x-4) is undefined for x-4 ≤ 0.

2. To find the values of x for which the function is undefined, we solve the inequality x-4 ≤ 0. Adding 4 to both sides gives us x ≤ 4.

3. However, the function approaches negative infinity as x approaches 4 from the right, which means that x = 4 is a vertical asymptote of the function.

So, the equation of the vertical asymptote to the curve y = ln(x-4) is x = 4.

Question

The vertical asymptote of the function y = ln(x-4) is x = 4.

Here's why:

1. The natural logarithm function, ln(x), is undefined for x ≤ 0. This means that the function y = ln(x-4) is undefined for x-4 ≤ 0.

2. To find the values of x for which the function is undefined, we solve the inequality x-4 ≤ 0. Adding 4 to both sides gives us x ≤ 4.

3. However, the function approaches negative infinity as x approaches 4 from the right, which means that x = 4 is a vertical asymptote of the function.

So, the equation of the vertical asymptote to the curve y = ln(x-4) is x = 4.

Knowee AI · Accepted Answer

The vertical asymptote of the function y = ln(x-4) is x = 4.

Here's why:

1. The natural logarithm function, ln(x), is undefined for x ≤ 0. This means that the function y = ln(x-4) is undefined for x-4 ≤ 0.

2. To find the values of x for which the function is undefined, we solve the inequality x-4 ≤ 0. Adding 4 to both sides gives us x ≤ 4.

3. However, the function approaches negative infinity as x approaches 4 from the right, which means that x = 4 is a vertical asymptote of the function.

So, the equation of the vertical asymptote to the curve y = ln(x-4) is x = 4.

equation of the vertical asymptote to the curve y= ln(x-4)

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