Question

Find an expression for a rational function f(x) that satisfies the conditions: a slant asymptote of y = 2x, vertical asymptote at x = 1, and contains the point (0, 6).

Answer 1

Complete Question

The complete Question is attached below

Answer:

Option D

Step-by-step explanation:

From the question we are told that:

Slant asymptote of $y = 2x$

Vertical asymptote at $x = 1,$

Points (0,6)

Generally the Denominator  is give as

With

Vertical Asymptote at

$x -1=0$

Therefore

Denominator = (x-1)

Generally Slant asympote 2x Gives the Coefficient of the numerator

Therefore

The expression for a rational function f(x) that satisfies the conditions

$F(x)=\frac{2x^2-2x-6}{x-1}$

Option D