Write a rational function f with a slant asymptote `y=x+4`, a vertical asymptote at x = 5 and one of the zeros at x = 2.

Explanation

To find a rational function \( f(x) \) with the specified characteristics: a slant asymptote \( y = x + 4 \), a vertical asymptote at \( x = 5 \), and a zero at \( x = 2 \), we can follow these steps:

### Step 1: Identify the form of the rational function
Since we want a slant asymptote, the degree of the numerator must be one higher than the degree of the denominator. Therefore, we can express \( f(x) \) in the form:
\[ f(x) = \frac{g(x)}{h(x)} \]
where \( g(x) \) is a polynomial of degree 2 (to match the degree of the slant asymptote) and \( h(x) \) is a polynomial of degree 1.
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