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Which of the following rational functhion
A) f(×)= 2ײ+3×-5
׳-2ײ+5×1

1 Answer

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The rational function that has the same graph as f(x) = 2x²+3x-5 / x³-2x²+5x-1 is: B) f(x) = 2x+3 / x²-2x+5

To determine this, we first need to factor both numerators and denominators of the two given functions.

For f(x) = 2x²+3x-5 / x³-2x²+5x-1:

Numerator: 2x²+3x-5 can be factored as (x-1)(2x+5)

Denominator: x³-2x²+5x-1 can be factored as (x-1)(x²-x+5)

For f(x) = 2x+3 / x²-2x+5:

Numerator: 2x+3 cannot be factored further

Denominator: x²-2x+5 cannot be factored further

Now, if we divide the numerator and denominator of the first function by (x-1), we get:

f(x) = (2x+5) / (x²-x+5)

This is the simplified form of f(x) = 2x²+3x-5 / x³-2x²+5x-1.

Complete question:

What is the rational function

A) f(×)= 2ײ+3×-5

׳-2ײ+5×1

Which of the following rational functhion A) f(×)= 2ײ+3×-5 ׳-2ײ+5×1-example-1
User Timothy Britt
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