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

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)=(2x^2-2x-6)/(x-1)`

Option D