Which of the following is written as a rational function?A.P(x) = 7x + 1B.𝐹(𝑥)=𝑥−53𝑥F(x)= 3xx−5 C.Q(x) = x2 + 6x - 3D.G(x) = -4xSUBMITarrow_backPREVIOUS
Question
Which of the following is written as a rational function?
A. P(x) = 7x + 1
B. F(x) =
C. Q(x) = x² + 6x - 3
D. G(x) = -4x
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Solution
A rational function is a function that can be written as the quotient of two polynomials.
A. P(x) = 7x + 1 is a polynomial, not a rational function.
B. F(x) = (x - 5) / 3x is a rational function because it is written as a quotient of two polynomials.
C. Q(x) = x^2 + 6x - 3 is a polynomial, not a rational function.
D. G(x) = -4x is a polynomial, not a rational function.
So, the function that is written as a rational function is B. F(x) = (x - 5) / 3x.
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