For f(x) = x + 1 and g(x) = 2x^2 - x - 3, find (f/g)(x).

Joel Fernando asked Jul 2, 2022

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Joel Fernando asked Jul 2, 2022

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23 votes

Answer:

(1)/(2x-3)

Explanation:

(
(f)/(g) )(x)

=
(f(x))/(g(x))

=
(x+1)/(2x^2-x-3) ( factorise the denominator )

=
(x+1)/((2x-3)(x+1)) ← cancel the common factor (x + 1) on numerator/ denominator

=
(1)/(2x-3)

Zhaoqing answered Jul 8, 2022

2.6k points

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