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If f(x)=(5x+2)/(-3x+1), what value does ...

If `f(x)=(5x+2)/(-3x+1)`, what value does f(x) approach as x gets arbitrarily large?

A

`-15`

B

`-(5)/(3)`

C

`-1`

D

`3/5`

Text Solution

Verified by Experts

The correct Answer is:
B
The polynomials in the numberator and enominator of this rational function have the ssame degree. Therefore, as x gets arbitrarily large , f(x) approaches the ratio of the leading coefficients, `-(5)/(3)`.
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