Question

What is the asymptote of the graph of f(x)=5x−1?

Answer 1

The asymptotes of the graph of $f(x) = \frac{5}{x - 1}$ are as follows:

• Vertical: x = 1.

• Horizontal: y = 0.

What are the asymptotes of a function f(x)?

• The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

• The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{5}{x - 1}$

For the vertical asymptote, we have that:

$x - 1 = 0 \rightarrow x = 1$.

For the horizontal asymptote, we have that:

$y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0$.

More can be learned about asymptotes at brainly.com/question/16948935

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