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).

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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 [tex]y = 2x[/tex]

Vertical asymptote at [tex]x = 1,[/tex]

Points (0,6)

Generally the Denominator  is give as

With

Vertical Asymptote at

[tex]x -1=0[/tex]

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

[tex]F(x)=\frac{2x^2-2x-6}{x-1}[/tex]

Option D

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